Question

use the pythagorean theorem to determine the hypotenuse of a right triangle whose legs are 9 in. and 12 in., respectively. 20 in. 225 in. 21 in. 15 in.

Explanation:

Step1: Recall Pythagorean Theorem

For a right triangle with legs $a, b$ and hypotenuse $c$, $c = \sqrt{a^2 + b^2}$

Step2: Substitute given values

Let $a=9$, $b=12$. Calculate $9^2 + 12^2 = 81 + 144 = 225$

Step3: Compute hypotenuse

$c = \sqrt{225} = 15$

Answer:

15 in.