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Question
value: 10 order the sides of each triangle from shortest to longest. a. $overline{xv}$ b. $overline{wx}$ c. $overline{vw}$ 1. shortest = 2. middle = 3. longest =
Step1: Recall angle - side relationship
In a triangle, the side opposite the smallest angle is the shortest and the side opposite the largest angle is the longest.
Step2: Identify smallest angle
The smallest angle in \(\triangle WXV\) is \(41^{\circ}\), and the side opposite it is \(\overline{XV}\).
Step3: Identify middle - sized angle
The middle - sized angle is \(54^{\circ}\), and the side opposite it is \(\overline{WX}\).
Step4: Identify largest angle
The largest angle is \(85^{\circ}\), and the side opposite it is \(\overline{VW}\).
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- Shortest = a. \(\overline{XV}\)
- Middle = b. \(\overline{WX}\)
- Longest = c. \(\overline{VW}\)