Question

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

Explanation:

Step1: Apply Pythagorean theorem

$a = 40$, $b = 75$, and the Pythagorean theorem is $c^{2}=a^{2}+b^{2}$.

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

$a^{2}=40^{2}=1600$, $b^{2}=75^{2}=5625$.

Step3: Find $c^{2}$

$c^{2}=1600 + 5625=7225$.

Step4: Solve for $c$

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

Answer:

85