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

Answer:

4.0

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $c = 5$ (hypotenuse) and $b = 3$ (one - leg), we want to find $a$. So $a=\sqrt{c^{2}-b^{2}}$.

Step2: Substitute values

$a=\sqrt{5^{2}-3^{2}}=\sqrt{25 - 9}=\sqrt{16}$.

Step3: Calculate result

$\sqrt{16}=4$. Rounding to the nearest tenth gives 4.0.