Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
a = square feet

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=10$, $b=8$

Step2: Rearrange to solve for $a$

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

Step3: Substitute values and calculate

$a = \sqrt{10^2 - 8^2} = \sqrt{100 - 64} = \sqrt{36}$

Step4: Simplify the square root

$a = 6$

Answer:

6 feet