# What is the distance between the points (80, 55) and (20, 44)?

Dec 6, 2016

The distance between these two points is 61 units.

#### Explanation:

The formula for calculating the distance between two points is:

$d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

Substituting the values given in this problem gives us:

$d = \sqrt{{\left(80 - 20\right)}^{2} + {\left(55 - 44\right)}^{2}}$

$d = \sqrt{{\left(60\right)}^{2} + {\left(11\right)}^{2}}$

$d = \sqrt{\left(3600\right) + \left(121\right)}$

$d = \sqrt{3721}$

#d = 61