Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$, where $c$ is the hypotenuse and $a$ and $b$ are the legs. Here, $c = 9$ and $b = 7$, and we want to find $a$. So, $a=\sqrt{c^{2}-b^{2}}$.

Step2: Substitute values

Substitute $c = 9$ and $b = 7$ into the formula: $a=\sqrt{9^{2}-7^{2}}=\sqrt{81 - 49}=\sqrt{32}$.

Step3: Simplify and round

$\sqrt{32}\approx5.7$ (rounded to the nearest tenth).

Answer:

$5.7$