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# ABC is an isosceles triangle right angled at C. Prove that AB square equals 2AC square.

Q4   ABC is an isosceles triangle right angled at C. Prove that  $AB^2 = 2AC ^2$

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Given: ABC is an isosceles triangle right angled at C.

Let AC=BC

In $\triangle$ ABC,

By Pythagoras theorem

$AB^2=AC^2+BC^2$

$AB^2=AC^2+AC^2$           (AC=BC)

$AB^2=2.AC^2$

Hence proved

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