For the square pyramid, the lateral edge length, e, is 25 in., and the slant height, 8, is 24 in. Find the height of the pyramid, h. Round the answer to the nearest whole number. Hint: Before finding the length of h, you will first need to find the length of r. The height of the square pyramid is
16 in.
To find the height of the pyramid, we first need to find the length of the slant edge, r, using the Pythagorean theorem:
r^2 = e^2 + h^2
r^2 = 25^2 + h^2
r^2 = 625 + h^2
We also know that r = 24 in.
Substitute r = 24 into the above equation:
24^2 = 625 + h^2
576 = 625 + h^2
h^2 = 576 - 625
h^2 = 49
h = 7
Therefore, the height of the square pyramid is 7 in. Round to the nearest whole number, the height is 7 in.