Question

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

Explanation:

Step1: Apply Pythagorean theorem

$a = 3.1$, $b = 8.2$, and the Pythagorean theorem is $c^{2}=a^{2}+b^{2}$.

Step2: Calculate $a^{2}$ and $b^{2}$

$a^{2}=3.1^{2}=9.61$, $b^{2}=8.2^{2}=67.24$.

Step3: Find $c^{2}$

$c^{2}=9.61 + 67.24=76.85$.

Step4: Solve for $c$

$c=\sqrt{76.85}\approx8.8$

Answer:

$8.8$