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

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $a = 40$ mm and $b = 9$ mm. So $c^{2}=40^{2}+9^{2}$.

Step2: Calculate the squares

$40^{2}=1600$ and $9^{2}=81$. Then $c^{2}=1600 + 81=1681$.

Step3: Find the value of c

$c=\sqrt{1681}=41$ mm.

Answer:

41