Question

In a ΔABC, if ∠B=∠C=45°, which is the longest side?

Answer 1

In the given triangle:
∠B = ∠C = 45 ° [ Given ]
⇒ ∠A+∠B+∠C=180 ° [ Sum of angles of triangle is 180 ° ]
⇒ ∠A+45 °+45 °=180 °
⇒ ∠A+90 °=180 °
⇒ ∠A=90 °
Here, we can see ∠A is a larger angle and we know side opposite to larger angle is larger.
∴ The longest side is BC