In a ∆ABC, AB² + AC² = BC² and BC =

Home » Aptitude » Plane Geometry » Question

In a ∆ABC, AB² + AC² = BC² and BC = √2AB, then ∠ABC is :

1. 30°
2. 45°
3. 60°
4. 90°

Correct Option: B

As per the given in question , we draw a figure of a ∆ABC,

Here , AB² + AC² = BC² and BC = √2AB,
AB² + AC² = BC² ⇒ ∠BAC = 90°
⇒ AB² + AC² = 2AB²
⇒ AB² = AC²
⇒ AB = AC
∴ ∠ABC = ∠ACB = 45°