Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \square millimeters

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $a=15$ mm, $b=36$ mm, $c$ is the hypotenuse.

Step2: Calculate squares of the legs

$15^2 = 225$, $36^2 = 1296$

Step3: Sum the squared values

$225 + 1296 = 1521$

Step4: Take square root for $c$

$c = \sqrt{1521} = 39$

Answer:

39 millimeters