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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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