Question

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Answer 1

Answer:

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Step-by-step explanation:

To prove : PR² = 2PQ²

Given : PQR is an isosceles right triangle with ∠Q = 90°.

In the given triangle ,

∠Q = 90°

PR is the hypotenuse. And, QR = PQ as the triangle is isosceles.

By the Pythagoras theorem,

(Hypotenuse)² = (Opp. Side)² + (Adj.side)²

PR² = PQ² + QR²

PR² = PQ² + PQ²

PR² = 2PQ²

Therefore, It is proved that PR² = 2PQ²

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