# What is the distance between  (–7, 8)  and  (3, 5) ?

Dec 6, 2015

#### Answer:

$\sqrt{109}$

#### Explanation:

The distance between 2 points $\left(x 1 , y 1\right) \mathmr{and} \left(x 2 , y 2\right)$=$\sqrt{{\left(x 2 - x 1\right)}^{2} + {\left(y 2 - y 1\right)}^{2}}$

So the distance between $\left(- 7 , 8\right) \mathmr{and} \left(3 , 5\right)$=$\sqrt{{\left(3 + 7\right)}^{2} + {\left(5 - 8\right)}^{2}}$
=$\sqrt{109}$

Dec 6, 2015

#### Answer:

$\sqrt{109}$

#### Explanation:

By the Pythagorean Theorem
distance between the given points is
$\textcolor{w h i t e}{\text{XXX}} \sqrt{{10}^{2} + {3}^{2}} = \sqrt{109}$