Question

ABC is an isosceles triangle with AC =BC. If AB=2AC, prove that ABC is a right triangle​

Answer 1

Answer:

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Answer 2

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Here is your answer -

Δ ABC is an isosceles triangle  with AC = BC , and AB² = 2AC²

To prove : ∠C = 90°

Proof :-

AB² = 2AC²

      = AC² + AC²

      = AC² + BC²                                  [ ∵ AC = BC ]

AB² = AC² + BC²     ----> (1)

From (1) ,  

∠C = 90° [ by converse of Pythagoras theorem ]