Using the the side lengths on the previous slide, use the Pythagorean Theorem to calculate the hypotenuse. Show your work

Okay, here we have this:
Considering the provided figure and side lenghts, we are going to calculate the requested hypotenuse, so we obtain the following:
[tex]\begin{gathered} h=\sqrt{(37.5in)^2+(21.1in)^2} \\ h=\sqrt{1406.25in^2+445.21in^2} \\ h=\sqrt{1851.46in^2} \\ h\approx43.03in \\ h\approx43in \end{gathered}[/tex]Finally we obtain that the hypotenuse is approximately 43 inches.