Question

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

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, $c = 2.4$ mi and $b = 1.9$ mi. We want to find $a$, so $a=\sqrt{c^{2}-b^{2}}$.

Step2: Substitute values

$a=\sqrt{(2.4)^{2}-(1.9)^{2}}=\sqrt{5.76 - 3.61}=\sqrt{2.15}$.

Step3: Calculate and round

$\sqrt{2.15}\approx1.5$ mi.

Answer:

$1.5$