In ∆ABC, if ∠ A=90°, which is the longest side?

Question

In &#x2206;ABC, if &#x2220; A=90&#xB0;, which is the longest side?

Philoid · Accepted Answer

It is given that ∠A=90°.

In right angled triangle at 90°

Sum of all angles in triangle is 180°, so other two angles must be less that 90°

So, other angles are smaller than ∠A.

Hence ∠A is largest angle.

We know that side opposite to largest angle is largest.

∴BC is longest side, which is opposite to ∠A.