Question

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

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse, $a=4$, $c=8$.

Step2: Rearrange to solve for $b$

$b^2 = c^2 - a^2$

Step3: Substitute values

$b^2 = 8^2 - 4^2 = 64 - 16 = 48$

Step4: Calculate square root

$b = \sqrt{48} = 4\sqrt{3} \approx 6.9$

Answer:

$6.9$ meters