Question

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Answer 1

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Answer 2

Question:-

PQR is a isosceles right triangle, right - angled at Q. Prove that PR² = 2PQ².

Given:-

• PQR is an isosceles right angle.

To Prove:-

• PQ² = 2PQ².

Solution:-

In △PQR by Pythagoras Theorem,

PR² = PQ² + QR²

PR² = PQ² + PQ² [ PQ = QR ].

PR² = 2PQ².

Answer:-

${ \boxed{ \sf \large \pink{Hence,Proved \: PR² = 2PQ².}}}$

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