# What is the distance between (2, 8) and (1, 4)?

$\setminus \sqrt{17}$

#### Explanation:

The distance formula is an application of the Pythagorean Theorem wherein the the length of the hypotenuse is the distance between two points which is equal to the square root of the sums of x-side length squared and y-side length squared or

$d = \setminus \sqrt{{x}^{2} + {y}^{2}}$
$d = \setminus \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}} \implies$ The distance formula for two points

So,
$d = \setminus \sqrt{{\left(2 - 1\right)}^{2} + {\left(8 - 4\right)}^{2}}$
d =\sqrt(1+16