Chapter 18, Problem 1RE

To determine

The longest and the shortest sides of the given triangle RST.

Answer to Problem 1RE

The longest and the shortest sides of the given triangle RST are $\underset{\_}{TS}$ and $\underset{\_}{RS}$, respectively.

Explanation of Solution

Result used:

If a triangle has three unequal sides, then longest side of that triangle is the opposite side of the largest angle and its shortest side of the opposite side of the smallest angle.

Description:

Compute the longest side as follows.

From the given triangle, the largest angle is observed to be $80°$.

The side that is opposite to the angle $80°$ is noticed to be TS.

Thus, the longest side of the triangle RST is $\underset{\_}{TS}$.

Obtain the shortest side as follows.

From the given triangle, the smallest angle is observed to be $42°$.

The side that is opposite to the angle $42°$ is noticed to be RS.

Thus, the shortest side of the triangle RST is $\underset{\_}{RS}$.