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

Question

In a &#x394; ABC , if &#x2220; B = &#x2220; C =45&#xB0;, which is the longest side?

Philoid · Accepted Answer

Given that in ,

∠B = ∠C = 45^o

We have to find longest side.

We know that,

Sum of angles in a triangle = 180^o

∠A + ∠B + ∠C = 180^o

∠A + 45^o + 45^o = 180^o

∠A + 90^o = 180^o

∠A = 90^o

Therefore, BC is the longest side because side opposite to greater angle is larger.