# What is the distance of (1,4) and (5,2)?

Apr 9, 2016

$2 \sqrt{5}$

#### Explanation:

Plot a line between the points and you can form a triangle. So Pythagoras can be used

Let the direct distance between the 2 points be $d$

The $d = \sqrt{{\left[- 2\right]}^{2} + {\left[4\right]}^{2}}$

$\implies d = \sqrt{4 + 16} = \sqrt{20}$

$d = \sqrt{4 \times 5} = 2 \sqrt{5}$