Q. 15 A35.0( 3 Votes )

# In an isosceles triangle ABC, if AC = BC and AB2 = 2AC2, then the measure of C isA. 30°B. 90°C. 45°D. 60°

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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