# What is the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length?

Apr 9, 2018

17 units.

#### Explanation:

let`s name the unknown quantity as $x$

so according to the Pythagorean formula...

${x}^{2} = {\left(15\right)}^{2} + {\left(8\right)}^{2}$

i..e..

${x}^{2} = 225 + 64$

which is

${x}^{2} = 289$

doing the square root on both the sides,

$x = \sqrt{289}$

i.e.

$x = 17 u n i t s$

hence the length of the hypotenuse is 17 units.