Question

In ΔАВC, BC = CA and ∠ACB = 90°. Then correct relation is ______.

Options

• AB² = 2AC²

• 2AB² = AC²

• BC² = 2AC²

• 2BC² = AC²

Answer 1

In ΔАВC, BC = CA and ∠ACB = 90°. Then correct relation is AB² = 2AC².

Explanation:

Angle ACB = 90°.

So, by Pythagoras AB² = AC² + BC². 

But BC = CA. 

So, AB² = AC² + AC² = 2 × AC². 

Thus, AB² = 2AC².