Question

Triangle abc is an isosceles triangle with ac is equal to bc if a b square is equals to 2 ac square prove that triangle abc is a right triangle

Answer 1

Answer:

Step-by-step explanation:

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 ]