Question

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

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, $c = 9$ km and $a = 5$ km. We want to find $b$, so $b=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

$b=\sqrt{9^{2}-5^{2}}=\sqrt{81 - 25}=\sqrt{56}$.

Step3: Calculate and round

$\sqrt{56}\approx7.5$ km.

Answer:

$7.5$