For the square pyramid, the lateral edge length is 25 in., and the slant height, is 24 in. Find the height of the pyramid. Round the answer to the nearest whole number. The height of the square pyramid is?

Answer 1

To find the height of the pyramid, we can use the Pythagorean theorem.
Let's label the height of the pyramid as "h".
The lateral edge length is given as 25 in., so each side of the base of the pyramid is 25 in.
Since the base is a square, the height of the pyramid would be the same as the height of one of the four triangles that make up the pyramid.
Using the Pythagorean theorem, we can find the height of the triangle:

h^2 = (24^2) - (12.5^2)
h^2 = 576 - 156.25
h^2 = 419.75

Taking the square root of both sides:
h ≈ √419.75
h ≈ 20.49

The height of the pyramid is approximately 20.49 inches, rounded to the nearest whole number. So, the height is 20 inches.