Chapter 9.8, Problem 12PSB

To determine

Tocalculate: The length of $\overline{AB}$ .

Answer to Problem 12PSB

The length of $\overline{AB}$ is $17.9$ .

Explanation of Solution

Given information:

Coordinates of vertex are $A=\left(-10,0\right),B=\left(6,8\right)$ and $C=\left(10,0\right)$ .

Formula used:

The distance between two points by using the distance formula, which is an application of the Pythagoreantheorem.

D $=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

Calculation:

  

  $\begin{array}{l}AB=\sqrt{{\left(8-0\right)}^2+{\left(6-\left(-10\right)\right)}^2}\\ =\sqrt{{\left(8\right)}^2+{\left(16\right)}^2}\\ =\sqrt{320}\\ =8\sqrt{5}\approx 17.9\end{array}$