Question

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

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $a = 2.6$ ft and $b=8.3$ ft. So $c^{2}=2.6^{2}+8.3^{2}$.

Step2: Calculate squares

$2.6^{2}=6.76$ and $8.3^{2}=68.89$. Then $c^{2}=6.76 + 68.89=75.65$.

Step3: Find square - root

$c=\sqrt{75.65}\approx8.7$ ft.

Answer:

$8.7$