Question

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

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=80$, $a=64$

Step2: Rearrange to solve for $b$

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

Step3: Substitute known values

$b^2 = 80^2 - 64^2 = 6400 - 4096 = 2304$

Step4: Calculate square root of $b^2$

$b = \sqrt{2304}$

Answer:

48 meters