Question

∆PQR is an isosceles right triangle right angled at R. Prove that PQ2 = 2PR2.

Answer 1

Step-by-step explanation:

As ΔPQR is right angled at R, then,

PQ

2

=QR

2

+PR

2

Since the triangle is an isosceles triangle, then, QR=PR, therefore,

PQ

2

=PR

2

+PR

2

PQ

2

=2PR

2

Hence proved.