Question

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

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $a = 40$ and $b=75$.
So $c^{2}=40^{2}+75^{2}$.

Step2: Calculate squares

$40^{2}=1600$ and $75^{2}=5625$. Then $c^{2}=1600 + 5625=7225$.

Step3: Find the square - root

$c=\sqrt{7225}=85$.

Answer:

85