Question

In ∆ABC, AC =AB and ∠ ACB = 90o

, then Prove AB2 = 2AC2​

Answer 1

Answer:

Answer:

Given:

Δ ABC is a right triangle

Also Δ ABC is isosceles

To prove: AB² = 2AC²

Proof:

Here,

hypotenuse = AB

Also, we know that Δabc is isosceles

hence AB = AC                (isosceles Δ has two equal sides)

Using Pythagoras theorem in Δ ABC

AB² = AC² + BC²

AB² = AC² +AC²                      (as AC = BC)

AB² = 2AC².