CBSE Class 9 Answered
in triangle ABC and PQR, AB=AC,angle C= angle P and angle B=angle Q.THE two triangle are:
Asked by Prashanth Balasubramaniam | 02 Oct, 2012, 05:27: PM
Expert Answer
In triangle ABC and PQR, AB = AC. angle C = angle P and angle B = angle Q.
In such case these triangles are called isosceles triangles.
The reason is described below.
In triangle ABC; AB = AC.
So, triangle ABC is an isosceles triangle.
It is given that
Angle C = angle P (1)
Angle B = angle Q. (2)
Given that in triangle ABC; AB = AC.
So, angle B = angle C (3)
From (1), (2) and (3);
Angle P = angle Q
So, PR = QR in triangle PQR.
This shows that the triangle PQR is an isosceles triangle.
Answered by | 02 Oct, 2012, 11:59: PM
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