Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = miles

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, the Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a = 1$ mile, $b = 3$ miles, and $c$ is the hypotenuse. So, $1^{2}+3^{2}=c^{2}$.

Step2: Calculate the left - hand side

$1^{2}=1$ and $3^{2}=9$, then $1 + 9=c^{2}$, so $c^{2}=10$.

Step3: Solve for $c$

$c=\sqrt{10}\approx 3.2$ miles (rounded to the nearest tenth).

Answer:

$3.2$