# What is the distance between the points (12,3) and (-8,3)?

Feb 11, 2017

#### Answer:

The distance between the two points is 20.

#### Explanation:

The formula for calculating the distance between two points is:

$d = \sqrt{{\left(\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}\right)}^{2} + {\left(\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}\right)}^{2}}$

Substituting the values from the points in the problem gives:

$d = \sqrt{{\left(\textcolor{red}{- 8} - \textcolor{b l u e}{12}\right)}^{2} + {\left(\textcolor{red}{3} - \textcolor{b l u e}{3}\right)}^{2}}$

$d = \sqrt{{\left(- 20\right)}^{2} + {0}^{2}}$

$d = \sqrt{400 + 0}$

$d = \sqrt{400} = 20$