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

Answer 1

To find the height (h) of the square pyramid, we can use the Pythagorean theorem, since the slant height (s) and the lateral edge length (e) form a right triangle with the height as the hypotenuse.

Using the Pythagorean theorem:
h^2 = s^2 - (e/2)^2
h^2 = 24^2 - (25/2)^2
h^2 = 576 - 312.5
h^2 = 263.5

Taking the square root of both sides:
h = √263.5

Rounding to the nearest whole number:
h ≈ 16

The height of the square pyramid is approximately 16 inches.