Question

3 mi. 2 mi. what is the length of the missing leg? if necessary, round to the nearest tenth. b = miles

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, $c = 3$ mi and $a = 2$ mi. We want to find $b$, so $b=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

Substitute $c = 3$ and $a = 2$ into the formula: $b=\sqrt{3^{2}-2^{2}}=\sqrt{9 - 4}=\sqrt{5}$.

Step3: Calculate and round

$\sqrt{5}\approx2.2$ (rounded to the nearest tenth).

Answer:

$2.2$