Question

prove that -

ABC is an issoceless triangle with AC=BC.IF AB^2=2AC^2,prove that ABC is a right triangle​

Answer 1

SEE THE AATACHMENT YOUR ANSWER IS THIS AND I THINK IT IS CORRECT

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Answer 2

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 ]