Question

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

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $a=3$, $b=4$, $c$ is hypotenuse.

Step2: Substitute values into formula

$3^2 + 4^2 = c^2$
$\implies 9 + 16 = c^2$
$\implies 25 = c^2$

Step3: Solve for c

$c = \sqrt{25} = 5$

Answer:

5 kilometers