Question

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

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, $c = 7.7$ in and $b = 6.4$ in. We want to find $a$, so $a=\sqrt{c^{2}-b^{2}}$.

Step2: Substitute the values

$a=\sqrt{(7.7)^{2}-(6.4)^{2}}=\sqrt{59.29 - 40.96}=\sqrt{18.33}$.

Step3: Calculate the square - root

$a\approx4.3$ in (rounded to the nearest tenth).

Answer:

$4.3$