Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $a=12$, $b=5$.
$c^2 = 12^2 + 5^2$

Step2: Calculate squared side lengths

$12^2 = 144$, $5^2 = 25$
$c^2 = 144 + 25$

Step3: Sum and take square root

$c^2 = 169$
$c = \sqrt{169}$

Answer:

13 centimeters