# How do you determine if the lengths 18, 24, 30 form a right triangle?

Oct 23, 2017

see below

#### Explanation:

we use Pythagoras' theorem

if $c$ is the hypotenuse ( the longest side), $a \text{ & "b" }$are the other two sides then

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

we ahve

${30}^{2} = 900$

${18}^{2} = 324$

${24}^{2} = 576$

$324 + 576 = 900 = {30}^{2}$

$\therefore 18 , 24 , 30 \text{ }$do form a right angle triangle