Question

ABC is an isosceles triangle with ac is equal to BC if a b square is equal to 2 AC square who prove that ABC is an right angle triangle​

Answer 1

Answer:AC=BC (given)

AC²=BC²

Given: AB²=2AC²

AB²=AC²+AC²

AB²=AC²+BC²

So, AB is hypotenuse then angleC is of 90° and thus triangle ABC is a right angle triangle

Answer 2

In triangle ABC

AC=BC

Given:

AB^2=2AC^2

AB^2=AC^2+BC^2(since AC=BC)

This satisfies the Pythagoras Theorem

Therefore ABC is a right angled triangle.

Hope it helps...