In an isosceles ∆ABC, if AC = BC and AB2 = 2AC2 , then ∠C = ? (a) – InterviewSolution

1.

In an isosceles ∆ABC, if AC = BC and AB2 = 2AC2 , then ∠C = ? (a) 30°(b) 45°(c) 60°(d) 90°

Answer»

(d) 90°

Given:

AC = BC

AB² = 2AC² = AC² + AC² = AC² + BC²

Applying Pythagoras theorem, we conclude that ∆ABC is right angled at C.

Or, ∠C = 90°

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