Question

ABC is an isoceles rriangle right angle at C prove that AB^2=2AC^2

Answer 1

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Answer 2

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Here is your answer

Given:- ABC is a isoceles triangle i.e. ac=bc

To prove:-
${ab}^{2} = 2{ac}^{2}$

Using phthagoras theoram

${ab}^{2} = {ac}^{2} + {bc}^{2}$

${ab}^{2} = {ac}^{2} + {ac}^{2}$

$\boxed{ {ab}^{2} = 2 {ac}^{2} }$

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