Question

In $\Delta ABC$, if $\angle A={50}^{\circ }$ and $\angle B={60}^{\circ }$, then the greatest side is :

• A. AB
• B. BC
• C. AC
• D. Cannot say

Answer 1

The correct option is A AB

Using angle sum property of triangle

$\angle A+\angle B+\angle C={180}^{\circ }\Rightarrow {50}^{\circ }+{60}^{\circ }+\angle C={180}^{\circ }\Rightarrow \angle C={180}^{\circ }-{110}^{\circ }={70}^{\circ }$

Side opposite to the largest angle is the longest side.

Here $\angle C$ is largest and side opposite to it is $AB$

So $AB$ is the longest side.