What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 8 and 7?

Jan 8, 2016

$10.6$

Explanation:

To find the length of the hypotenuse of a right-angled triangle, we use Pythagoras' Theorem:

${c}^{2} = {a}^{2} + {b}^{2}$

$c$ is what we need to find. $a$ and $b$ are $7$ and $8$ respectively - we are not provided with length units.

${c}^{2} = {7}^{2} + {8}^{2}$
$c = \sqrt{{7}^{2} + {8}^{2}}$
$c = \sqrt{49 + 64}$
$c = \sqrt{113}$
$c = 10.6$ units ($3$ s.f.)

So the length of the hypotenuse is $10.6$.