Chapter 5.3, Problem 2CYP

To determine

To list: The angles and sides of $\Delta ABC$ in order from smallest to largest.

Answer to Problem 2CYP

The sides from shortest to longest are $\overline{AC}$ , $\overline{AB}$ , and $\overline{BC}$ , and the angles from smallest to largest are $\angle B$ , $\angle C$ , and $\angle A$ .

Explanation of Solution

Given:

The given figure is as follows.

  

Calculation:

The sides from shortest to longest are $\overline{AC}$ , $\overline{AB}$ , and $\overline{BC}$ . The angles opposite these sides are $\angle B$ , $\angle C$ , and $\angle A$ , respectively. So, the angles from smallest to largest are $\angle B$ , $\angle C$ , and $\angle A$ .

Therefore, the sides from shortest to longest are $\overline{AC}$ , $\overline{AB}$ , and $\overline{BC}$ , and the angles from smallest to largest are $\angle B$ , $\angle C$ , and $\angle A$ .