Question

a

e
h
- S
r

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.
The height of the square pyramid is_____ in.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height of the pyramid, we first need to find the length of the slant height, r, using the Pythagorean theorem.

r = √(e^2 - (1/2 * s)^2)
r = √(25^2 - (1/2 * 24)^2)
r = √(625 - 144)
r = √481
r ≈ 21.9 in.

Next, we can find the height of the pyramid using the Pythagorean theorem again.

h = √(r^2 - (1/2 * e)^2)
h = √(21.9^2 - (1/2 * 25)^2)
h = √(480.61 - 156.25)
h = √324.36
h ≈ 18 in.

Therefore, the height of the square pyramid is approximately 18 inches.