Question

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

Explanation:

Step1: State Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=8$, $a=5$

Step2: Rearrange to solve for $b$

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

Step3: Substitute known values

$b^2 = 8^2 - 5^2 = 64 - 25 = 39$

Step4: Calculate square root of 39

$b = \sqrt{39} \approx 6.2$

Answer:

6.2 yards