Finding height of a pyramid

• May 30th 2014, 08:21 AM
Joanie
Finding height of a pyramid
How. Do I find the height of a pyramid when I know the length of an edge (4 m) and the edge of the square base (5.66)? Hope someone can help.
• May 30th 2014, 09:08 AM
HallsofIvy
Re: Finding height of a pyramid
The base is a square with edges of length 5.66. Using the Pythagorean theorem, a diagonal has length $5.66\sqrt{2}$. The distance from one corner of the square base to the center is half of that $2.83\sqrt{2}$. The "height", h, is one leg of a right triangle having hypotenuse 4 and one leg of length $2.83\sqrt{2}$. Use the Pythagorean theorem again to find h.