ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2, prove that ABC is a right triangle.
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Solution
Given that
AB2 = 2AC2
⇒ AB2 = AC2 + AC2
⇒ AB2 = AC2 + BC2 (As AC = BC)
The triangle is satisfying the pythagoras theorem
Therefore the given triangle is a right angle trangle
Concept: Pythagoras Theorem
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