Q. 15 A35.0( 3 Votes )
In an isosceles triangle ABC, if AC = BC and AB2 = 2AC2, then the measure of C is
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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