what is the length of the missing leg? if necessary, round to the nearest tenth. b = kilometers

Answer:

8.5

Explanation:

Step1: Recall Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c$ is hypotenuse. Here $c = 9$, $a = 3$, and we need to find $b$.

Step2: Rearrange the formula

$b=\sqrt{c^{2}-a^{2}}=\sqrt{9^{2}-3^{2}}$.

Step3: Calculate values inside square - root

$9^{2}-3^{2}=81 - 9=72$.

Step4: Calculate square - root

$b=\sqrt{72}\approx8.5$.