# In Triangle ABC, ∠A is a Right Angle and ∠B = 45°. Find BC. If your Answer is not an Integer, Leave it in Simplest Radical Form.

We will be using the Pythagoras Theorem to solve this.

## Answer: If ∠A is a Right Angle and ∠B = 45°, then BC = x√2.

Let's solve this step by step.

**Explanation:**

Given that ∠A =90°, ∠B = 45°

By angle sum property of triangle, ∠A + ∠B + ∠C = 180°

⇒ ∠C = 45°

Sides opposite to equal angles are equal. So, let AB = AC = x

According to Pythagoras Theorem: AB^{2} + AC^{2} = BC^{2}

BC^{2} = x^{2} + x^{2}

BC^{2} = 2x^{2}

BC = x√2