Question

a. $overline{xv}$
b. $overline{wx}$
c. $overline{vw}$

1. shortest =
2. middle =
3. longest =

Explanation:

Step1: Recall angle - side relationship in a triangle

In a triangle, the side opposite the smallest angle is the shortest, the side opposite the middle - sized angle is of middle length, and the side opposite the largest angle is the longest.

Step2: Identify the smallest, middle and largest angles

The angles of the triangle are \(41^{\circ}\), \(54^{\circ}\), and \(85^{\circ}\). The smallest angle is \(41^{\circ}\), the middle - sized angle is \(54^{\circ}\), and the largest angle is \(85^{\circ}\).

Step3: Determine the sides opposite the angles

The side opposite the \(41^{\circ}\) angle is \(\overline{XV}\), the side opposite the \(54^{\circ}\) angle is \(\overline{VW}\), and the side opposite the \(85^{\circ}\) angle is \(\overline{WX}\).

Answer:

1. Shortest = a. \(\overline{XV}\)
2. Middle = c. \(\overline{VW}\)
3. Longest = b. \(\overline{WX}\)