Question

In the figure AB=PQ ; angle A = angle Q , angle B = angle P

what are the sides of triangle PQR , which an equal to AC ​

Answer 1

Answer:

In △ABC and △PQR

∠C=∠P (Given)

∠B=∠Q (Given)

∠A=∠R (Third angle of the triangle)

Thus, △ABC∼△PQR

Also, given, AB=AC

Thus, ∠B=∠C (Isosceles triangle Property)

But, ∠B=∠Q and ∠C=∠P

Hence, ∠Q=∠P

or PR=QR 

Thus, both the triangles are Isosceles but not congruent.

Answered By

Rajnish Shegunashi

Step-by-step explanation:

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