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NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties

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NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties

Edited By Ravindra Pindel | Updated on Feb 07, 2024 05:12 PM IST

The concepts studied in Triangles and Its Properties are highly useful in higher classes. So practising questions in NCERT and more is important. This is where the NCERT solutions for Class 7 Maths chapter 6 the Triangle and Its Properties are useful. In this chapter of NCERT, we will discuss triangles and its properties like medians and altitudes of a triangle, exterior angle of a triangle, angle sum property of a triangle, equilateral and isosceles triangles, the sum of the lengths of two sides of the triangle, right-angled triangles, and Pythagoras theorem.

This Story also Contains
  1. NCERT Solutions for Maths Chapter 6 The Triangle and its Properties Class 7- Important Formulae
  2. NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties - Important Points
  3. NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties
  4. NCERT Solutions for Class 7 Maths Chapter 6 Questions and Exercise
  5. NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.1
  6. NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.2
  7. NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.3
  8. NCERT solutions for maths chapter 6 the triangle and its properties class 7 topic 6.4
  9. NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.5
  10. NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.6
  11. NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.7
  12. NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Topic 6.8
  13. NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.1
  14. NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.2
  15. NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.3
  16. NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Exercise 6.4
  17. NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Exercise 6.5
  18. The Triangle and Its Properties Class 6 Maths Chapter 6-Topics

There are a total of 5 exercises with 21 questions discussed in the CBSE NCERT solutions for Maths chapter 6 the Triangle and Its Properties class 7. Topic-wise questions are also discussed in the solutions of NCERT Solutions for Class 7. A tool like NCERT Solutions is extremely helpful for the students to understand the basics of each chapter and also help them to clear all their doubts easily. As mentioned in the NCERT Syllabus for Class 7 Maths, there are five exercises in this chapter.

NCERT Solutions for Maths Chapter 6 The Triangle and its Properties Class 7- Important Formulae

Exterior Angle = Sum of two interior opposite angles.

Angle sum property for triangle: Sum of all three interior angles = 180°

Sum of any two sides > Third side.

Difference between any two sides < Third side.

Pythagoras property: a2 + b2 = c2, Where c is hypotenuse.

NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties - Important Points

Median of a triangle: A line that joins a vertex of a triangle to the midpoint of its opposite side.

A triangle has 3 medians

Exterior Angle: It is formed when a side of a triangle is produced.

Exterior Angle = Sum of two interior opposite angles.

Angle sum property for triangle: Sum of all three interior angles = 180°

Types of triangles:

Equilateral Triangle:

  • All sides are equal.
  • All angles are equal ( 60° ).

Isosceles Triangle:

  • Two sides are equal.
  • The angles opposite the equal sides are also equal.

Scalene Triangle:

  • No sides are equal.
  • No angles are equal.

Property of the length of the sides of a triangle:

Sum of any two sides > Third side.

Difference between any two sides < Third side.

Pythagoras property:

Square on the hypotenuse = Sum of the square on its legs.

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a2 + b2 = c2

It is useful to decide whether a triangle is right-angled or not.

Free download NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties PDF for CBSE Exam.

NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties

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NCERT Solutions for Class 7 Maths Chapter 6 Questions and Exercise

NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.1

Q: 1 Write the six elements (i.e., the 3 sides and the 3 angles) of \small \Delta ABC .

Answer: The Triangle \small \Delta ABC .

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The Elements of the triangle are:

Sides : \overline {AB},\overline{BC}\:\:and\:\:\overline{CA}

Angles : \angle ABC, \angle BCA,\:\:\angle CAB


2. Write the:

(i) Side opposite to the vertex Q of \small \Delta PQR

(ii) Angle opposite to the side LM of \small \Delta LMN

(iii) Vertex opposite to the side RT of \small \Delta RST

Answer: (i) The side opposite to the vertex Q of \small \Delta PQR =\overline {PR}

(ii) Angle opposite to the side LM of \small \Delta LMN =\angle MNL


(iii) Vertex opposite to the side RT of \small \Delta RST = Vertex S.


3. Look at Fig \small 6.2 and classify each of the triangles according to its

(a) SidesThe lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

(b) Angles

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Answer: i) The triangle ABC

Based on Side: In Triangle ABC, Since two sides (BC and AC ) are equal (= 8 cm ) The given triangle is an isosceles triangle.

Based on Angle: In Triangle ABC, Since all the triangles are less than 90 degrees, So the given triangle is Acute angled triangle.


ii) The Triangle PQR

Based on Side : In Triangle PQR, All the sides are different so, The given triangle is a scalene triangle .

Based on Angle: In Triangle PQR, Since angle QRP is a right angle, So the given triangle is Right-angled triangle.


iii) The Triangle LMN

Based on Side : In Triangle LMN, Since two sides (MN and NL ) are equal (=7 cm ), The given triangle is an isosceles triangle.

Based on Angle: In Triangle LMN, Since angle MNL is an Obtuse angle, So the given triangle is Obtuse angled triangle.


iv) The Triangle RST

Based on Side : In Triangle RST, All the sides are equal (=5.2 cm) so, The given triangle is an Equilateral triangle.

Based on Angle: In Triangle RST, Since all the triangles are less than 90 degrees, So the given triangle is Acute angled triangle.


v) The triangle ABC

Based on Side : In Triangle ABC, Since two sides (AB and BC ) are equal (= 3 cm ) The given triangle is an isosceles triangle.

Based on Angle: In Triangle ABC, Since angle ABC is greater than 90 degrees So the given triangle is Obtuse angled triangle.


vi) The Triangle PQR

Based on Side : In Triangle PQR, Since two sides (PQ and QR ) are equal (= 6 cm ) The given triangle is an isosceles triangle .

Based on Angle: In Triangle PQR, Since angle PQR is a right angle, So the given triangle is Right-angled triangle.

NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.2

1. How many medians can a triangle have?

Answer: In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex.

2. Does a median lie wholly in the interior of the triangle? (If you think that this is not true, draw a figure to show such a case).

Answer: Yes, The median always lies in the interior of the triangle.

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As we can see in all three cases the median lies inside the triangle.

NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.3

1. How many altitudes can a triangle have?

Answer: Every triangle has three bases (any of its sides) and three altitudes (heights). Every altitude is the perpendicular segment from a vertex to its opposite side (or the extension of the opposite side.


2. Draw rough sketches of altitudes from A to \small \overline{BC} for the following triangles (Fig \small 6.6 ):

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Answer: altitudes from A to \small \overline{BC} for the triangles are:

1643692297225

3. Will an altitude always lie in the interior of a triangle? If you think that this need not be true, draw a rough sketch to show such a case.

Answer: No, the altitude of a triangle might lie outside the triangle. for example in the obtuse-angled triangle, we have to extend the base side for making altitude angle.

Altitudes

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4. Can you think of a triangle in which two altitudes of the triangle are two of its sides?

Answer: Yes, in a Right-angled triangle, the two altitudes of the sides are two sides as they make an angle of 90 degrees with one another.

5. Can the altitude and median be same for a triangle?

( Hint : For Q.No. 4 and 5, investigate by drawing the altitudes for every type of triangle).

Answer: Yes, the altitude and median can be the same in a triangle. for example, consider an equilateral triangle, the median which divides the side in equal is also perpendicular to the side and hence the altitude and the median is the same.

NCERT solutions for maths chapter 6 the triangle and its properties class 7 topic 6.4

1. Exterior angles can be formed for a triangle in many ways. Three of them are shown here (Fig \small 6.10 )

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There are three more ways of getting exterior angles. Try to produce those rough sketches.

Answer: In a triangle, there are a total of six exterior angles

Exterior Angles in a Triangle

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2. Are the exterior angles formed at each vertex of a triangle equal?

Answer: No, The exterior angle formed at the vertices of a triangle are not equal. The exterior angle is equal to the sum of the two opposite interior angles.

3. What can you say about the sum of an exterior angle of a triangle and its adjacent interior angle?

Answer: As we can see they both angles forms a straight line, Hence the sum of an exterior angle of a triangle and its adjacent interior angle is always 180^0 .

1. What can you say about each of the interior opposite angles, when the exterior angle is

(i) a right angle? (ii) an obtuse angle? (iii) an acute angle?

Answer: (i) a right angle

When the exterior angle is 90^0 , the sum of opposite internal angles is 90^0

(ii) an obtuse angle

When the exterior angle is the obtuse angle, the opposite interior angles can be both acute, one right and one acute and one obtuse and one acute.

(iii) an acute angle?

When the exterior angle is an acute angle, both the internal angle has to be acute angles.

2. Can the exterior angle of a triangle be a straight angle?

Answer: No, the exterior angle of a triangle cannot be a straight angle because if the exterior angle is straight then there won't be any triangle left that would be a straight line. (imagine it visually).

1. An exterior angle of a triangle is of measure \small 70^{\circ} and one of its interior opposite angles is of measure \small 25^{\circ} . Find the measure of the other interior opposite angle.

Answer: As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

According to the question,

70^0=25^0+interior \:\:angle

interior \:\:angle =70^0-25^0

interior \:\:angle =45^0

Hence the other interior angle is 45^0 .

2. The two interior opposite angles of an exterior angle of a triangle are \small 60^{\circ} and \small 80^{\circ} . Find the measure of the exterior angle.

Answer: As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

Exterior Angle = \small 60^{\circ} + \small 80^{\circ} .

= 140^0

Hence the measure of the exterior is 140^0 .

3. Is something wrong in this diagram (Fig \small 6.12 )? Comment.

1643692430374

Answer: Yes, The measure of the exterior angle is given wrong.

As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle = 50^0+50^0

= 100^0

Hence the exterior angle should be equal be 100^0 instead of 50^0 .

NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.5

1. Two angles of a triangle are \small 30^{\circ} and \small 80^{\circ} . Find the third angle.

Answer: Let the third angle be x

Now, As we know the sum of internal angles of a triangle is 180. so,

30^0+80^0+x=180^0

x=180^0-30^0-80^0

x=70^0

Hence the Third angle is 70^0 .

2. One of the angles of a triangle is \small 80^{\circ} and the other two angles are equal. Find the measure of each of the equal angles.

Answer: Let the two same angles in triangle be x .

Now, As we know the sum of internal angles of a triangle is 180. so,

80^0+x+x=180^0

2x=180^0-80^0

2x=100^0

x=50^0 .

Hence both other angles are 50^0 each.

3. The three angles of a triangle are in the ratio \small 1:2:1 . Find all the angles of the triangle. Classify the triangle in two different ways.

Answer: Let the angles of the triangles be x,2x\:\:and\:\:x

So,

As we know the sum of internal angles of a triangle is 180. so,

x+2x+x=180^0

4x=180^0

x=45^0

2x=90^0

Hence the angles of the triangles are 45^0,90^0\:\:and\:\:45^0 .

On the Basis of sides, the triangle is isosceles triangle as two sides of the triangle are equal.

On the Basis of angle, the triangle is Right-Angled Triangle as it has one angle equal to 90 degrees.

1. Can you have a triangle with two right angles?

Answer: No, we cannot have a triangle with two right angles. as the sum of the angles of a triangle is always 180 degrees, If there are two right angles then the sum would exceed 180 which is not possible.

2. Can you have a triangle with two obtuse angles?

Answer: No, we can not have two obtuse angles in a triangle because the sum of angles of the triangle is always 180 degrees and if there are two obtuse angles in the triangle then the sum would be more than 180 degrees which are not possible.

3. Can you have a triangle with two acute angles?

Answer: Yes, of course! we can have a triangle with two acute angles. all the obtuse-angled triangles have two acute angles in them.

4. Can you have a triangle with all the three angles greater than \small 60^{\circ} ?

Answer: No, we can not have a triangle with all the three angles greater than \small 60^{\circ} because then the sum of the angles of the triangles would be greater than 180 degree which is no possible.

5. Can you have a triangle with all the three angles equal to \small 60^{\circ} ?

Answer: Yes, we can have a triangle with all the three angles equal to \small 60^{\circ} as the sum of the angles of the triangle would be exactly 180 degrees. such triangles are called equilateral triangles.

6. Can you have a triangle with all the three angles less than \small 60^{\circ} ?

Answer: No, we can not have a triangle with all angles less than 60^0 because then the sum of the angles would be less than 180 degrees which are also not possible.

The sum of angles of a triangle is exactly 180^0 neither more than that nor less than that.

NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.6

1. Find angle x in each figure:

1643692464972

Answer: As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal.

and

the sum of angles of the triangle is equal to 180^0 . So,

i) x = 40^0

ii) x+45^0+45^0=180^0

x=180^0-90^0

x=90^0

iii) x=50^0

iv) 100^0+x+x=180^0

2x=180^0-100^0

2x=80^0

x=40^0

v) x+x+90^0=180^0

2x=180^0-90^0

2x=90^0

x=45^0

vi) x+x+40^0=180^0

2x=180^0-40^0

2x=140^0

x=70^0

vii) x=180^0-120^0

x=60^0

viii) As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle. So,

x+x=110^0

2x=110^0

x=55^0

ix) As we know when two lines are intersecting, the opposite angles are equal. So

x=30^0

2. Find angles x and y in each figure.

1643692489150

Answer: i) As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal. So,

y+120^0=180^0

y=180^0-120^0

y=60^0

Now, As we know the sum of internal angles of a triangle is 180. so,

x+60^0+60^0=180^0

x=180^0-60^0-60^0

x=60^0

Hence, x=60^0\:\:and\:\:y=60^0 .

ii) As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal.

AND

the sum of internal angles of a triangle is 180. so,

x+x+90^0=180^0

2x=90^0

x=45^0

Also,

y=180^0-x

y=180^0-45^0

y=135^0 .

Hence x=45^0\:\:and\:\:y=135^0 .

iii) As we know when two lines are intersecting, the opposite angles are equal.

And

the sum of internal angles of a triangle is 180. so,

x+x+92^0=180^0

2x=180^0-92^0

2x=88^0

x=44^0

Now, As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle

y=x+92^0

y=44^0+92^0

y=136^0

Hence x=44^0\:\:and\:\:y=136^0 .

NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.7

1. Is the sum of any two angles of a triangle always greater than the third angle?

Answer: No, we can not say that. because we can have triangles in which the sum of two angles is less than the third angle. For Example:

A triangle ABC with

\angle A=150^o

\angle B=20^o

\angle C=10^o

NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Topic 6.8

Q. Find the unknown length x in the following figures (Fig \small 6.29 ):

1643692512317

1643692541631
Answer: As we know in a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

So, using this theorem,

i)

x^2=3^2+4^2

x^2=9+16

x^2=25

x=5 .

ii)

x^2=6^2+8^2

x^2=36+64

x^2=100

x=10

iii)

x^2=15^2+8^2

x^2=225+64

x^2=289

x=17

iv)

x^2=24^2+7^2

x^2=576+49

x^2=625

x=25

v) in this question as we can see from the figure, it is making the right angle with the half-length of x, so

\left ( \frac{x}{2} \right )^2+12^2=37^2

\frac{x^2}{4} +12^2=37^2

\frac{x^2}{4} =37^2-12^2

. \frac{x^2}{4} =1369-144

\frac{x^2}{4} =1225

x^2=4\times 1225

x=2\times35

x=70.

vi)

x^2=12^2+5^2

x^2=144+25

x^2=169

x=13

1. Which is the longest side in the triangle PQR, right-angled at P?

Answer: The hypotenuse is the longest side in a triangle. So when the right angle is at P, the Longest side would be QR.

2. Which is the longest side in the triangle ABC, right-angled at B?

Answer: The hypotenuse is the longest side in a triangle. So when the right angle is at B, the Longest side would be AC.

3. Which is the longest side of a right triangle?

Answer: The hypotenuse is the longest side in a Right-angled triangle.

4. ‘The diagonal of a rectangle produce by itself the same area as produced by its length and breadth’– This is Baudhayan Theorem. Compare it with the Pythagoras property.

Answer: Baudhayan Theorem and Pythagoras theorem are basically the same. Baudhayan Theorem used geometry to intuitively prove the Pythagoras theorem.

NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.1

1. In \small \Delta PQR , D is the mid-point of \small \overline{QR} .

\small \overline{PM} is _________________.

PD is _________________.

Is \small QM=MR ?

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Answer: \small \overline{PM} is the Altitude of the triangle.

PD is the Mediun of the triangle.

No, \small QM\neq MR . As QD = DR.

2. Draw rough sketches for the following:

(a) In \small \Delta ABC , BE is a median.

(b) In \small \Delta PQR , PQ and PR are altitudes of the triangle.

(c) In \small \Delta XYZ , YL is an altitude in the exterior of the triangle.

Answer: (a) In \small \Delta ABC , BE is a median.

1643720314026

(b) In \small \Delta PQR , PQ and PR are altitudes of the triangle.


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(c) In \small \Delta XYZ , YL is an altitude in the exterior of the triangle.

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3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

Answer: Yes, it is very much possible that the median and altitude of an isosceles triangle is the same. for example, The given triangle has the same median and altitude.

1643720422823

NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.2

1. Find the value of the unknown exterior angle x in the following diagrams:

1643720449797

Answer: As we know that the exterior angle is equal to the sum of the opposite internal angles. So,

i) x=50^0+70^0=120^0

ii) x=65^0+45^0=110^0

iii) x=30^0+40^0=70^0

iv) x=60^0+60^0=120^0

v) x=50^0+50^0=100^0

vi) x=30^0+60^0=90^0


2. Find the value of the unknown interior angle \small x in the following figures:

1643720476448

Answer: As we know that the exterior angle is equal to the sum of the opposite internal angles. So,

i) 60^0+x=120^0\Rightarrow x=120^0-60^0=60^0

ii) 70^0+x=100^0\Rightarrow x=100^0-70^0=30^0

iii) x+90^0=125^0\Rightarrow x=125^0-90^0=35^0

iv) x+60^0=120^0\Rightarrow x=120^0-60^0=60^0

v) x+30^0=80^0\Rightarrow x=80^0-30^0=50^0

vi) x+35^0=75^0\Rightarrow 75^0-35^0=40^0

NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.3

1. Find the value of the unknown x in the following diagrams

1643720496982

Answer: As we know that the sum of the internal angles of the triangle is equal to 180^0 . So,

i) x+50^0+60^0=180^0

x=180^0-50^0-60^0

x=70^0

ii) x+30^0+90^0=180^0

x=180^0-30^0-90^0

x=60^0

iii) x+30^0+110^0=180^0

x=180^0-30^0-110^0

x=40^0

iv) x+x+50^0=180^0

2x=180^0-50^0

2x=130^0

x=65^0

v) x+x+x=180^0

3x=180^0

x=60^0

vi) x+2x^0+90^0=180^0

3x=180^0-90^0

3x=90^0

x=30^0

2. Find the values of the unknowns x and y in the following diagrams

1643720571992

1643720726789

Answer: i) As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle.

50^0+x=120^0

x=120^0-50^0

x=70^0

Now, As we know the sum of internal angles of a triangle is 180. so,

50^0+x+y=180^0

50^0+70^0+y=180^0

y=180^0-50^0-70^0

y=60^0

Hence, x=70^0\:\:and\:\:y=60^0 .

ii) As we know when two lines are intersecting, the opposite angles are equal. So

y=80^0

Now, As we know the sum of internal angles of a triangle is 180. so,

50^0+y+x=180^0

50^0+80^0+x=180^0

x=180^0-50^0-80^0

x=50^0

Hence, x=50^0\:\:and\:\:y=80^0 .

iii) As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle

x=50^0+60^0

x=110^0

Now, As we know the sum of internal angles of a triangle is 180. so,

y+50^0+60^0=180^0

y=180^0-50^0-60^0

y=70^0

Hence, x=110^0\:\:and\:\:y=70^0 .

iv)

As we know when two lines are intersecting, the opposite angles are equal. So

x=60^0

Now, As we know the sum of internal angles of a triangle is 180. so,

30^0+y+x=180^0

30^0+y+60^0=180^0

y=180^0-30^0-60^0

y=90^0

Hence, x=60^0\:\:and\:\:y=90^0

v) As we know when two lines are intersecting, the opposite angles are equal. So

y=90^0

Now, As we know the sum of internal angles of a triangle is 180. so,

y+x+x=180^0

90^0+2x=180^0

2x=90^0

x=45^0

Hence, x=45^0\:\:and\:\:y=90^0

vi) As we know when two lines are intersecting, the opposite angles are equal. So

y=x

Now, As we know the sum of internal angles of a triangle is 180. so,

x+x+x=180^0

3x=180^0

x=60^0

Hence, x=60^0\:\:and\:\:y=60^0 .

NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Exercise 6.4

1. Is it possible to have a triangle with the following sides?

(i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm
(iii) 6 cm, 3 cm, 2 cm

Answer: As we know, According to the Triangle inequality law, the sum of lengths of any two sides of a triangle would always greater than the length of the third side. So

Verifying this inequality by taking all possible combinations, we have,

(i) 2 cm, 3 cm, 5 cm

3 + 5 > 2 ----> True

2 + 5 > 3----> True

2 + 3 > 5 ---->False

Hence the triangle is not possible.

(ii) 3 cm, 6 cm, 7 cm
3 + 6 > 7 -----> True

3 + 7 > 6 ------>True

6 + 7 > 3 ------>True

Hence, The triangle is possible.

(iii) 6 cm, 3 cm, 2 cm

6 + 3 > 2 ------>True

6 + 2 > 3 ------> True

3 + 2 > 6 ------->False

Hence triangle is not possible.

2. Take any point O in the interior of a triangle PQR. Is

(i) \small OP+OQ> PQ ?
(ii) \small OQ+OR> QR ?
(iii) \small OR+OP> RP ?

1643720827539

Answer: i) As POQ is a triangle, the sum of any two sides will always be greater than the third side. so

Yes, \small OP+OQ> PQ .

ii) As ROQ is a triangle, the sum of any two sides will always be greater than the third side. so

Yes, \small OQ+OR> QR

iii) As ROQ is a triangle, the sum of any two sides will always be greater than the third side. so

Yes, \small OR+OP> RP

3. AM is a median of a triangle ABC.
Is \small AB+BC+CA> 2AM ?
(Consider the sides of triangles \small \Delta ABM and \small \Delta AMC .)

1643720852115

Answer: As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

So,

In \small \Delta ABM :

\overline {AB}+\overline {BM}>\overline{AM}...........(1)

In \small \Delta AMC :

\overline {AC}+\overline {CM}>\overline{AM}...........(2)

Adding (1) and (2), we get

\overline{AB}+\overline {AC}+\overline{BM}+\overline {CM}>\overline{AM}+\overline{AM}

As we can see M is the point in line BC So, we can say

\overline{BM}+\overline {CM}=\overline {BC}

So our equation becomes

\overline{AB}+\overline {AC}+\left (\overline{BM}+\overline {CM} \right )>\overline{AM}+\overline{AM}

\small AB+BC+CA> 2AM .

Hence it is a True statement.

4. ABCD is a quadrilateral.
Is \small AB+BC+CD+DA> AC+BD ?

1643720872678

Answer: As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

So,

In \small \Delta ABC :

\overline {AB}+\overline {BC}>\overline{AC}...........(1)

In \small \Delta CDA :

\overline {CD}+\overline {DA}>\overline{BD}...........(2)

Adding (1) and (2) we get,

\small AB+BC+CD+DA> AC+BD

Hence the given statement is True.

5. ABCD is quadrilateral. Is
\small AB+BC+CD+DA< 2(AC+BD) ?

1643720918248

Answer: Let the intersection point of the two diagonals be O.

1643720933347

As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

So,

In \small \Delta AOB :

\overline {AO}+\overline {OB}>\overline{AB}...........(1)

In \small \Delta BOC :

\overline {BO}+\overline {OC}>\overline{BC}...........(2)

In \small \Delta COD :

\overline {CO}+\overline {OD}>\overline{CD}...........(3)

In \small \Delta DOA :

\overline {DO}+\overline {OA}>\overline{DA}...........(4)

Now, Adding all four equations we, get

\overline{AO}+\overline {OB}+\overline{BO}+\overline{OC}+\overline {CO}+\overline {OD}+\overline{DO}+\overline{OA}>\overline{AB}+\overline{BC}+\overline{CD}+\overline{DA}

2\left (\overline{AO}+\overline {OB}+\overline{OC}+\overline {OD} \right )>\overline{AB}+\overline{BC}+\overline{CD}+\overline{DA}

2\left (\left (\overline{AO}+\overline {OC} \right )+\left (\overline{CO}+\overline {OD} \right ) \right )>\overline{AB}+\overline{BC}+\overline{CD}+\overline{DA}

2\left (\overline{AC}+ \overline{BD} \right )>\overline{AB}+\overline{BC}+\overline{CD}+\overline{DA}

which can also be expressed as

\small AB+BC+CD+DA< 2(AC+BD)

Hence this is true.

6. The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

Answer: Let ABC be a triangle with AB = 12cm and BC = 15cm

Now

As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

AB + BC > CA

12 + 15 > CA

CA < 27......(1)

Also, in a similar way

AB + CA > BC

CA > BC - AB

CA > 15 - 12

CA > 3............(2)

Hence from (1) and (2), we can say that the length of third side of the triangle must be between 3cm to 27 cm.

NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Exercise 6.5

1. PQR is a triangle, right-angled at P. If \small PQ = 10\hspace{1mm}cm and \small PR = 24\hspace{1mm}cm , find QR.

Answer: As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

As PQR is a right-angled triangle with

Base = PQ = 10 cm.

Perpendicular = PR = 24 cm.

Hypotenuse = QR

So, By Pythagoras theorem,

(QR)^2=(PQ)^2+(PR)^2

(QR)^2=(10)^2+(24)^2

(QR)^2=100+576

(QR)^2=676

QR=26 cm

Hence, Length od QR is 26 cm.

2. ABC is a triangle, right-angled at C. If \small AB = 25\hspace{1mm} cm and \small AC = 7\hspace{1mm} cm , find BC.

Answer: As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

As ABC is a right-angled triangle with

Base = AC= 7 cm.

Perpendicular = BC

Hypotenuse = AB = 25 cm

So, By Pythagoras theorem,

(AB)^2=(AC)^2+(BC)^2

(25)^2=(7)^2+(BC)^2

(BC)^2=(25)^2-(7)^2

(BC)^2=625-49

(BC)^2= 576

BC= 24

Hence, Length od BC is 24 cm.

3. A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.

1643720961306

Answer: Here. As we can see, The ladder with wall forms a right-angled triangle with

the vertical height of the wall = perpendicular = 12 m

length of ladder = Hypotenuse = 15 m

Now, As we know

In a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

(15)^2=(Base)^2+(12)^2

(Base)^2=(15)^2-(12)^2

(Base)^2=225-144

(Base)^2=81

Base=9 m

Hence the distance of the foot of the ladder from the wall is 9 m.

4. Which of the following can be the sides of a right triangle?

(i) \small 2.5\hspace{1mm} cm , \small 6.5\hspace{1mm} cm , 6 cm.

(ii) 2 cm, 2 cm, 5 cm.

(iii) \small 1.5\hspace{1mm} cm , 2cm, \small 2.5\hspace{1mm} cm

In the case of right-angled triangles, identify the right angles.

Answer: As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

(i) \small 2.5\hspace{1mm} cm , \small 6.5\hspace{1mm} cm , 6 cm.

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 6.5 cm

Verifying the Pythagoras theorem,

(6.5)^2=(6)^2+(2.5)^2

42.25=36+6.25

42.25=42.25

Hence it is a right-angled triangle.

The Right-angle lies on the opposite of the longest side (hypotenuse) So the right angle is at the place where 2.5 cm side and 6 cm side meet.

(ii) 2 cm, 2 cm, 5 cm.

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 5 cm

Verifying the Pythagoras theorem,

(5)^2=(2)^2+(2)^2

25=4+4

25\neq8

Hence it is Not a right-angled triangle.

(iii) \small 1.5\hspace{1mm} cm , 2cm, \small 2.5\hspace{1mm} cm .

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 2.5 cm

Verifying the Pythagoras theorem,

(2.5)^2=(2)^2+(1.5)^2

6.25=4+2.25

6.25=6.25

Hence it is a Right-angled triangle.

The right angle is the point where the base and perpendicular meet.

5. A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

Answer: As we can see the tree makes a right angle with

Perpendicular = 5 m

Base = 12 m

As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

(Hypotenus)^2=(12)^2+(5)^2

(Hypotenus)^2=144+25

(Hypotenus)^2=169

Hypotenus=13

Here, The Hypotenuse of the triangle was also a part of the tree originally, So

The Original height of the tree = height + hypotenuse

= 5 m + 13 m

= 18 m.

Hence the original height of the tree was 18 m.

6. Angles Q and R of a \small \Delta PQR are \small 25^{\circ} and \small 65^{\circ} . Write which of the following is true:

(i) \small PQ^2+QR^2=RP^2

(ii) \small PQ^2+RP^2=QR^2

(iii) \small RP^2+QR^2=PQ^2

1643720991329

Answer: As we know the sum of the angles of any triangle is always 180. So,

\angle P + \angle Q + \angle R = 180^0

\angle P + 25^0 + 65^0 = 180^0

\angle P = 180^0- 25^0 - 65^0

\angle P = 90^0

Now. Since PQR is a right-angled triangle with right angle at P. So

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

(QR)^2=(PQ)^2+(RP)^2

\small PQ^2+RP^2=QR^2

Hence option (ii) is correct.

7. Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

Answer: As we can see in the rectangle,

By Pythagoras theorem,

(Diagonal)^2=(Length)^2+(Width)^2

Now as given in the question,

Diagonal = 41 cm.

Length = 40 cm.

So, Putting these value we get,

(41)^2=(40)^2+(Width)^2

(Width)^2=(41)^2-(40)^2

(Width)^2=1681-1600

(Width)^2=81

Width=9cm

Hence the width of the rectangle is 9 cm.

So

The perimeter of the rectangle = 2 ( Length + Width )

= 2 ( 40 cm + 9 cm )

= 2 x 49 cm

= 98 cm

Hence the perimeter of the rectangle is 98 cm.

8. The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

Answer: As we know that the diagonals of the rhombus are perpendicular to each other and intersect at a point which is mid of both the diagonal.

So. By Pythagoras Theorem we can say that

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

(Side)^2=\left(\frac{16}{2}\right)^2+\left ( \frac{30}{2} \right )^2

(Side)^2= 8 ^2 + 15 ^2

(Side)^2= 64 + 225

(Side)^2= 289

Side= 17\:cm

Hence Side of the rhombus is 17 cm.

So,

The Perimeter of the rhombus = 4 x 17 cm

= 68 cm.

Hence, the perimeter of the rhombus is 68 cm.

The Triangle and Its Properties Class 6 Maths Chapter 6-Topics

  • Medians Of A Triangle
  • Altitudes Of Triangle
  • Exterior Angle Of A Triangles And Its Properties
  • Angle Sum Property Of A Triangle
  • Two Special Triangles: Equilateral And Isosceles
  • Sum Of The Lengths Of Two Side Of Triangle
  • Right-Angle Triangles And Pythagoras Property

NCERT Solutions for Class 7 Maths Chapter Wise

Chapter No.

Chapter Name

Chapter 1

Integers

Chapter 2

Fractions and Decimals

Chapter 3

Data Handling

Chapter 4

Simple Equations

Chapter 5

Lines and Angles

Chapter 6

The Triangle and its Properties

Chapter 7

Congruence of Triangles

Chapter 8Comparing quantities

Chapter 9

Rational Numbers

Chapter 10

Practical Geometry

Chapter 11

Perimeter and Area

Chapter 12

Algebraic Expressions

Chapter 13

Exponents and Powers

Chapter 14

Symmetry

Chapter 15Visualising Solid Shapes

NCERT Solutions for Class 7 Subject Wise

Important Terms of NCERT Class 7 Maths Chapter 6 The Triangles And Its Properties

The following terms are discussed in the chapter and questions based on these points are covered in the NCERT Solutions for Class 7 .

Students can command these properties of triangle class 7 concepts to score well in the exam.

Elements of a triangle - The six elements of a triangle are its three sides and the three angles.

Median of a triangle- It is a line segment joining a vertex with the midpoint of its opposite side of the triangle. A triangle has three medians.

The altitude of a triangle- It is a perpendicular line segment from a vertex to its opposite side of the triangle. A triangle has three altitudes.

The angle sum property of a triangle- According to this the total measure of the three angles or the sum of all three angles of a triangle is 180° .

Equilateral l triangle- It is a triangle with all sides are equal in length. In an equilateral triangle, all three angles have measure 60°.

Isosceles triangle- It is a triangle is said to be an isosceles triangle if at least any two of its sides are equal in length.

Students can expect a similar type of questions discussed in the NCERT solutions for class 7 chapter 6 the triangle and its properties in exams.

Also Check NCERT Books and NCERT Syllabus here:

Frequently Asked Question (FAQs)

1. What is Triangle?

Triangle is a simple closed figure made up of three line segments. In NCERT solution for class 7 maths chapter 6, all the concepts and problems based on the triangle are discussed, practice them to command the concepts.

2. What is equilateral triangle?

A triangle in which all the three sides are equal is called an equilateral triangle. Practice NCERT solutions for class 7 maths chapter 6 to get command on the concepts related the equilateral triangle.

3. What are the topics are covered in NCERT book Class 7 Maths Chapter 6?

Here are the topics are covered in NCERT Class 7 Maths Chapter 6

  • Medians Of A Triangle 
  • Altitudes Of Triangle 
  • Exterior Angle Of A Triangles And Its Properties 
  • Angle Sum Property Of A Triangle 
  • Two Special Triangles: Equilateral And Isosceles 
  • Sum Of The Lengths Of Two Side Of Triangle 
  • Right-Angle Triangles And Pythagoras Property 

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Get answers from students and experts

A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available
Video Game Designer

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages.

Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available
Radio Jockey

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available
Choreographer

The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.

2 Jobs Available
Videographer
2 Jobs Available
Multimedia Specialist

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications. 

2 Jobs Available
Social Media Manager

A career as social media manager involves implementing the company’s or brand’s marketing plan across all social media channels. Social media managers help in building or improving a brand’s or a company’s website traffic, build brand awareness, create and implement marketing and brand strategy. Social media managers are key to important social communication as well.

2 Jobs Available
Copy Writer

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook. 

5 Jobs Available
Journalist

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available
Publisher

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available
Vlogger

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion. 

Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article. 

3 Jobs Available
Editor

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available
Linguist

Linguistic meaning is related to language or Linguistics which is the study of languages. A career as a linguistic meaning, a profession that is based on the scientific study of language, and it's a very broad field with many specialities. Famous linguists work in academia, researching and teaching different areas of language, such as phonetics (sounds), syntax (word order) and semantics (meaning). 

Other researchers focus on specialities like computational linguistics, which seeks to better match human and computer language capacities, or applied linguistics, which is concerned with improving language education. Still, others work as language experts for the government, advertising companies, dictionary publishers and various other private enterprises. Some might work from home as freelance linguists. Philologist, phonologist, and dialectician are some of Linguist synonym. Linguists can study French, German, Italian

2 Jobs Available
Public Relation Executive
2 Jobs Available
Travel Journalist

The career of a travel journalist is full of passion, excitement and responsibility. Journalism as a career could be challenging at times, but if you're someone who has been genuinely enthusiastic about all this, then it is the best decision for you. Travel journalism jobs are all about insightful, artfully written, informative narratives designed to cover the travel industry. Travel Journalist is someone who explores, gathers and presents information as a news article.

2 Jobs Available
Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues. 

5 Jobs Available
QA Manager
4 Jobs Available
Quality Controller

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product. 

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available
Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

3 Jobs Available
Production Manager
3 Jobs Available
Merchandiser
2 Jobs Available
QA Lead

A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans. 

2 Jobs Available
Metallurgical Engineer

A metallurgical engineer is a professional who studies and produces materials that bring power to our world. He or she extracts metals from ores and rocks and transforms them into alloys, high-purity metals and other materials used in developing infrastructure, transportation and healthcare equipment. 

2 Jobs Available
Azure Administrator

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems. 

4 Jobs Available
AWS Solution Architect

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party. 

4 Jobs Available
QA Manager
4 Jobs Available
Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
ITSM Manager
3 Jobs Available
Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

3 Jobs Available
Information Security Manager

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack 

3 Jobs Available
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