Question

comparing side lengths name the shortest and longest sides of the triangle. 6.

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the angle, the longer the side opposite it.

Step2: Compare the angles

The angles of the triangle are \( \angle C = 71^{\circ}\), \( \angle A=67^{\circ}\), \( \angle B = 42^{\circ}\). So \( \angle C>\angle A>\angle B\).

Step3: Identify the sides opposite the angles

Side opposite \( \angle C\) is \( AB\), side opposite \( \angle A\) is \( BC\), side opposite \( \angle B\) is \( AC\).

Answer:

Shortest side: \( AC\); Longest side: \( AB\)