Chapter 13.7, Problem 10PSA

To determine

To find:The measure of QM.

Answer to Problem 10PSA

The measure of QMis $\text{5}\text{units}$ .

Explanation of Solution

The coordinate of the midpoint is calculated as,

  $\begin{array}{c}M=\left(\frac{-10+\left(-2\right)}{2},\frac{3+9}{2}\right)\\ =\left(-6,6\right)\end{array}$

The distance QM is calculated as,

  $\begin{array}{c}QM=\sqrt{{\left(-6-\left(-3\right)\right)}^2+{\left(6-2\right)}^2}\\ =\sqrt{9+16}\\ =\sqrt{25}\\ =5\text{units}\end{array}$

Therefore, the measure of QM is $\text{5}\text{units}$ .