Use the image to answer the question.
a
e
r
S
page
For the square pyramid, the lateral edge length, e, is 25 in., and the slant height,
s, 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.
(1 point)
The height of the square pyramid is____in.
To find the height of the pyramid, we first need to find the length of r.
r = √(s^2 - (e/2)^2)
r = √(24^2 - (25/2)^2)
r = √(576 - 312.5)
r = √263.5
r ≈ 16.23 in.
Now that we have found the length of r, we can find the height of the pyramid:
h = √(r^2 - (e/2)^2)
h = √(16.23^2 - (25/2)^2)
h = √(263.5 - 312.5)
h = √(273.7)
h ≈ 16.54 in.
Therefore, the height of the square pyramid is approximately 17 inches.