Chapter 8.3, Problem 25E

To determine

The distance between two points.

Answer to Problem 25E

  $\sqrt{13}$

Explanation of Solution

Given:

The given points are:

  $\begin{array}{l}E\left(3,7\right)\\ F\left(6,5\right)\end{array}$

Calculation:

The distance between two points will be:

  $\begin{array}{l}=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\\ =\sqrt{{\left(6-3\right)}^2+{\left(5-7\right)}^2}\\ =\sqrt{9+4}\\ =\sqrt{13}\end{array}$