Question

which side of $\triangle abc$ is the longest?
a. $overline{ab}$
b. $overline{bc}$
c. $overline{ac}$
d. cannot be determined

Explanation:

Step1: Recall triangle angle-side rule

In any triangle, the longest side is opposite the largest interior angle.

Step2: Identify largest angle

Given angles: $\angle A = 61^\circ$, $\angle B = 69^\circ$, $\angle C = 50^\circ$.
The largest angle is $\angle B = 69^\circ$.

Step3: Match angle to opposite side

The side opposite $\angle B$ is $\overline{AC}$.

Answer:

C. $\overline{AC}$