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

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NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties- In this chapter, 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. There is a total of 5 exercises with 21 questions in this chapter. The NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties are created and solved by maths experts to help students in their preparation of class 7 CBSE final examination.

Triangle is a very important topic for a maths student, so students need to give proper attention to this topic. These  NCERT solutions of class 7 Maths are extremely helpful for the students to understand the basics of this chapter and also help them to clear all their doubts easily. These NCERT Solutions are given here with a detailed explanation of each problem of the NCERT textbook.

A triangle is a simple closed curve made of three line segments. It has three sides, three vertices, and three angles. Here is ∆ABC (Fig 6.1). The side BC is opposite to the vertex A.  In NCERT Class 7 Maths Chapter 6 The Triangles and its Properties we will learn how to classify triangles based on the (i) angles   (ii) sides. (i) Based on Angles: Right-angled triangles, Obtuse-angled and Acute-angled. (ii) Based on Sides: Equilateral triangles, Scalene and Isosceles. An acute-angled triangle is a triangle in which all three angles are acute angles or less than 90°. An obtuse-angled triangle is a triangle in which one angle is obtuse angle greater than 90°. A right-angled triangle is a triangle with one right angle or 90°.

$\\Sides: \overline{AB}\:\: \overline{BC}\:\: \overline{CA}\\\\Angles:\angle BAC, \angle ABC, \angle BCA\\\\Vertices:A, B, C$

## Important points of NCERT Class 7 Maths Chapter 6 The Triangles and its Properties are-

• 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
$\dpi{100} 180^o$.
• Equilateral 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.

## Topics of NCERT Grade 7 Maths Chapter 6 The Triangles and its Properties-

6.1 Introduction

6.2 Medians of a Triangle

6.3 Altitudes of a Triangle

6.4 Exterior Angle of a Triangle and its Property

6.5  Angle sum Property of a Triangle

6.6 Two Special Triangles: Equilateral and Isosceles

6.7 Sum of the Lengths of two Sides of a Triangle

6.8 Right-Angled Triangles and Pythagoras Property

The complete Solutions of NCERT Class 7 Mathematics Chapter 6 is provided below:

## 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 7 Congruence of Triangles Chapter 8 Comparing 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

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