Q. Find the unknown length x in the following figures (Fig ):
2. Find angles x and y in each figure.
1. Find angle x in each figure:
3. Is something wrong in this diagram (Fig )? Comment.
1. Exterior angles can be formed for a triangle in many ways. Three of them are shown here (Fig )
There are three more ways of getting exterior angles. Try to produce those rough sketches.
2. Draw rough sketches of altitudes from A to for the following triangles (Fig ):
3. Look at Fig and classify each of the triangles according to its
2. Write the:
(i) Side opposite to the vertex Q of
(ii) Angle opposite to the side LM of
(iii) Vertex opposite to the side RT of
Q : 1 Write the six elements (i.e., the 3 sides and the 3 angles) of .
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).
1. How many medians can a triangle have?
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).
4. Can you think of a triangle in which two altitudes of the triangle are two of its sides?
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.
1. How many altitudes can a triangle have?
3. What can you say about the sum of an exterior angle of a triangle and its adjacent interior angle?
2. Are the exterior angles formed at each vertex of a triangle equal?
Yes, why because in each vertex there are two exterior angles are there and those are the vertically opposite angles also. therefore those are equal.
2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle.
1. An exterior angle of a triangle is of measure and one of its interior opposite angles is of measure . Find the measure of the other interior opposite angle.
2. Can the exterior angle of a triangle be a straight angle?