In ∆ABC, if ∠ A= ∠ B=45°, name the longest side.

Question

In &#x2206;ABC, if &#x2220; A= &#x2220; B=45&#xB0;, name the longest side.

Philoid · Accepted Answer

In ∆ABC given that ∠A=∠B=45°

So, by the angle sum property in ∆ABC, we have

∠A + ∠B + ∠C = 180°

45° + 45° + ∠C = 180°

90° + ∠C = 180°

∴ ∠C = 180° - 90°

∠C = 90°

Hence, largest angle is ∠C

We know that side opposite to largest angle is longest, which is AB

Hence our longest side is AB

In ∆ABC, if ∠A=∠B=45°, name the longest side.