Question

What is the slant height of a regular square pyramid if each side of the base is 6 and its height is 5?

Answer 1

It is hard to picture, but the slant height is the height from the middle of the base to the top. Therefore, the base is 6, so the middle of it to the center would be 3. The height is 5. So the slant, using pythagorean, would be..

\[3^{2} + 5^{2} = (Slant)^{2}\]

Slant Height = \[\sqrt{34}\]