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_____ inches.
To find the height of the pyramid, we first need to find the length of the slant height, r.
Using the Pythagorean theorem, we can find r:
r^2 = (e/2)^2 + h^2
r^2 = (25/2)^2 + h^2
r^2 = 12.5^2 + h^2
r^2 = 156.25 + h^2
Now, we know that r is equal to the slant height, s:
24^2 = 156.25 + h^2
576 = 156.25 + h^2
h^2 = 576 - 156.25
h^2 = 419.75
h = √419.75
h ≈ 20.49
Therefore, the height of the square pyramid is approximately 20 inches.