SOLUTION: what is the height of a square pyramid with a base length of 7 feet and a slant height of 15 feet.

Algebra ->  Surface-area -> SOLUTION: what is the height of a square pyramid with a base length of 7 feet and a slant height of 15 feet.      Log On


   



Question 1159645: what is the height of a square pyramid with a base length of 7 feet and a slant height of 15 feet.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
what is the height of a square pyramid with a base length of 7 feet and a slant height of 15 feet.
:
A right triangle is formed: one leg is half the base length (3.5) going to the center.
the other leg is the height (center to vertex) and the slant height is the hypotenuse>
using a^2 + b^2 = c^2, where
a = 3.5
b = the height (h)
c = 15
3.5^2 + h^2 = 15^2
h^2 = 225 - 12.25
h = sqrt%28212.75%29
h = 14.586 ft is the height