Question

(D)
74 In triangles ABC and PQR, AB = AC,
ZC = ZP and ZB = ZQ. The two
triangles are Isosceles but not
congruent
(A)
TRUE
(B)
FALSE
(C)
(D)​

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.