Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a$ and $b$ are the legs. Here, $c = 15$ yd and $a=12$ yd. We want to find $b$. So, $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

$b^{2}=15^{2}-12^{2}=225 - 144=81$.

Step3: Solve for $b$

$b=\sqrt{81}=9$ yd.

Answer:

9