Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Here, $a=80$ m, $c=89$ m, solve for $b$:
$$b^2 = c^2 - a^2$$

Step2: Substitute values into formula

$$b^2 = 89^2 - 80^2$$
$$b^2 = 7921 - 6400$$

Step3: Calculate and take square root

$$b^2 = 1521$$
$$b = \sqrt{1521}$$

Answer:

39 meters