Question

which side is the longest?
bc
ab
ac

Explanation:

Step1: Find the measure of angle \( C \)

The sum of angles in a triangle is \( 180^{\circ} \). Let \( \angle A = 73^{\circ} \), \( \angle B=75^{\circ} \). Then \( \angle C=180^{\circ}-\angle A - \angle B=180^{\circ}-73^{\circ}-75^{\circ}=32^{\circ} \).

Step2: Use the angle - side relationship

In a triangle, the larger the angle, the longer the side opposite it. Since \( \angle B = 75^{\circ}\) is the largest angle among \( \angle A = 73^{\circ}\), \( \angle B = 75^{\circ}\) and \( \angle C=32^{\circ}\). The side opposite \( \angle B \) is \( AC \).

Answer:

\(\overline{AC}\)