Question

Pythagorean Theorem

In the rectangular pyramid below, l = 16 inches, w = 12 inches, and h = 15 inches.




What is the length of s?

Answer 1

$(\frac{l}{2})^2+h^2=s^2\\(\frac{(16)}{2})^2+(15)^2=s^2\\(8)^2+(225)=s^2\\64+225=s^2\\289=s^2\\\sqrt{289}=\sqrt{s^2}\\17=s$

C. 17 inches.