Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=80$ m, $a=64$ m. Rearrange to solve for $b$:
$b^2 = c^2 - a^2$

Step2: Substitute known values

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

Step3: Calculate square root of $b^2$

$b = \sqrt{2304}$

Answer:

48 meters