Question

In $\Delta ABC$, if $\angle A={35}^{\circ }$ and $\angle B={65}^{\circ }$, then the longest side of the triangle is :

• A. AC
• B. AB
• C. BC
• D. None of these

Answer 1

The correct option is B AB

Using angle sum property of triangle

$\angle A+\angle B+\angle C={180}^{\circ }\Rightarrow {35}^{\circ }+{65}^{\circ }+\angle C={180}^{\circ }\Rightarrow \angle C={180}^{\circ }-{100}^{\circ }={80}^{\circ }$

Side opposite to largest angle is the longest side of any triangle.

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

So $AB$ is the longest side.