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Question

ABC is an isosceles triangle with AC = BC. If AB2=2AC2, prove that ΔABC is right triangle. [1 MARK]

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Solution

Concept: 0.5 Mark
Application : 0.5 Mark

We have,

AC=BC,AB2=2AC2

Consider,

AB2=2AC2

AB2=AC2+AC2

AB2=AC2+BC2 [ AC = BC (Given)]

ΔABC is a right triangle right angled at C.


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