Question

in triangle ABC and PQR AB=AC, angle C=angle P and angle B=angle Q. the two triangle are :​

Answer 1

Answer:

Are Isosceles but not congruent

Step-by-step explanation:

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.

Answer 2

Answer:

they are Isosceles but not congruent

Step-by-step explanation:

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.