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

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

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

Answer

Answer:

8.8

Explanation:

Step1: Apply Pythagorean theorem

$c=\sqrt{a^{2}+b^{2}}$, where $a = 3.1$ and $b=8.2$.

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

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

Step3: Calculate $a^{2}+b^{2}$

$a^{2}+b^{2}=9.61 + 67.24=76.85$.

Step4: Calculate $c$

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