Abc is An isosceles triangle Right angled at C.prove that Ab square is

1.	Abc is An isosceles triangle Right angled at C.prove that Ab square is equal to 2Ac square
Answer» Given: ABC is an isosceles triangle right angled at C.To prove: AB2 = 2AC2Proof : ABC is an isosceles triangle right angle at C.{tex}\\therefore {/tex} AC = BC........(1)and {tex}\\angle{/tex}C = 90o.......(2)In view of (2) in{tex}\\vartriangle {/tex} ABC,AB2 = AC2 + BC2........By Pythagoras theorem.AC2 + AC2 ........Frrom(1)= 2Ac2

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