Question

in △abc, m∠a = 65, m∠b = 45, and m∠c = 70. which side of the triangle is the shortest? a $overline{bc}$ b $overline{ab}$ c $overline{ac}$

Explanation:

Step1: Recall angle - side relationship

In a triangle, the shortest side is opposite the smallest angle.

Step2: Identify the smallest angle

Given $m\angle A = 65$, $m\angle B=45$, $m\angle C = 70$. The smallest angle is $\angle B$.

Step3: Determine the side opposite the smallest angle

The side opposite $\angle B$ is $\overline{AC}$. So the shortest side of $\triangle ABC$ is $\overline{AB}$.

Answer:

B. $\overline{AB}$