Q. 15 A35.0( 3 Votes )

In an isosceles triangle ABC, if AC = BC and AB2 = 2AC2, then the measure of C is
A. 30°

B. 90°

C. 45°

D. 60°

Answer :

Given: AB2 = 2AC2


AB2 = AC2 + AC2


AB2 = AC2 + BC2 [ Given: AC = BC]


The expression given above is equivalent to expression of Pythagoras theorem, h2 = p2 + b2, which corresponds to a right angled triangle.


Also, h = AB and angle opposite to hypotenuse is right angle.


Thus C = 90°.

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