How do you use the Pythagorean Theorem to determine if the following three numbers could represent the measures of the sides of a right triangle: 30, 16, 34?

Apr 18, 2017

c = sqrt( a ^2 + b ^2

Explanation:

yes, these numbers represent the measure of the sides of a right angle triangle.

The formula for this is

${a}^{2} + {b}^{2} = {c}^{2}$, which can also be written as
c = sqrt( a ^2 + b ^2

$c = 34$
$a = 16$
$b = 30$

$34 = \sqrt{{16}^{2} + {30}^{2}} = \sqrt{256 + 900} = \sqrt{1156} = 34$

I hope this helps