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Abc is An isosceles triangle Right angled at C.prove that Ab square is equal to 2Ac square

Posted by Vishal Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

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

To prove: AB² = 2AC²
Proof : ABC is an isosceles triangle right angle at C.
{tex}\therefore {/tex} AC = BC........(1)
and {tex}\angle{/tex}C = 90^o.......(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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