Question

PQR is a isosceles right traingle, right - angled at Q. Prove that PR2 =2PR2​

Answer 1

Answer:

PR² = 2 PQ²

Step-by-step explanation:

From Pythagoras theorem, PR² = PQ² + QR².

so, PR² = 2 PQ² as PQ = QR

Answer 2

According to Pythagoras theorem ,

PR²=PQ²+QR²

The given triangle is isosceles so the sides PQ and QR are equal .

Hence we can substitute QR with PQ

PR²=PQ²+PQ²

PR²=2PQ²

Hence proved