Answer
$10 \text{ units}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Distance Formula to find the distance between the given points $\left(
8,13
\right)$ and $\left(
2,5
\right)$.
$\bf{\text{Solution Details:}}$
With the given points, then $x_1=
8
,$ $x_2=
2
,$ $y_1=
13
,$ and $y_2=
5
.$ Using the Distance Formula which is given by $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
,$ then
\begin{array}{l}\require{cancel}
d=\sqrt{(8-2)^2+(13-5)^2}
\\\\
d=\sqrt{(6)^2+(8)^2}
\\\\
d=\sqrt{36+64}
\\\\
d=\sqrt{100}
\\\\
d=\sqrt{(10)^2}
\\\\
d=10
.\end{array}
Hence, the distance is $
10 \text{ units}
.$
