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

Explanation:

Step1: Apply Pythagorean theorem

$a = 16$, $b = 30$, and the Pythagorean theorem is $c^{2}=a^{2}+b^{2}$. So $c^{2}=16^{2}+30^{2}$.

Step2: Calculate squares

$16^{2}=256$ and $30^{2}=900$. Then $c^{2}=256 + 900=1156$.

Step3: Find the square - root

$c=\sqrt{1156}=34$.

Answer:

34