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 $a = 42$ and $b = 40$. So $c^{2}=42^{2}+40^{2}$.

Step2: Calculate squares

$42^{2}=42\times42 = 1764$ and $40^{2}=40\times40=1600$. Then $c^{2}=1764 + 1600=3364$.

Step3: Find the square - root

$c=\sqrt{3364}=58$.

Answer:

58