Chapter 6, Problem 8CT

To determine

To find: the shortest segment of the given figure.

Answer to Problem 8CT

The shortest segment is $\overline{BC}$

Explanation of Solution

Given information:

The given figure is as follows:

  

Calculation:

Sum of the interior angles of triangle $={180}^0.$

  $\begin{array}{l}m\angle A=57,m\angle B=62,\\ m\angle C=180-57-62=61\end{array}$

The $\angle A$ is smallest angle in the given triangle.

The side opposite to the smallest angle is the smallest segment.

The side opposite to the $\angle A$ is $\overline{BC}$

Hence, the shortest segment is $\overline{BC}$