Question

Triangle PQR is an isosceles right triangle, right angled at R, Prove that PQ Square = 2PR Square

Answer 1

Answer:

Given: PR=QR [Because Tri. PQR is an isosceles Tri.]

By Pythagoras Theorem:

PQ Square = PR Square + QR Sqaure

PQ Sqaure = PR Sqaure + PR Sqaure [Because PR = PR

Proved Above ]

So,

PR Sqaure = 2 PR Sqaure

Hence, Proved.