there is a pyramid with the hypotenuse of 25 ft and a base of 40 ft what is the missing height? round to the nearest tenth

Answer 1

To find the missing height of the pyramid, we can use the Pythagorean theorem.

Let the missing height be \(h\). The formula for the height of a pyramid is \(\sqrt{h^2 + (\frac{40}{2})^2} = 25\).

Solving for \(h\):
\(h^2 + 20^2 = 25^2\)
\(h^2 + 400 = 625\)
\(h^2 = 225\)
\(h = \sqrt{225}\)
\(h = 15\)

Therefore, the missing height of the pyramid is 15 ft.