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

Let's use the Pythagorean theorem to find the height of the pyramid.

The lateral edge length is 25 in and the slant height is 24 in.

Let's label the height of the pyramid as "h".

The slant height represents the hypotenuse of a right triangle, with the height (h) and half of the lateral edge length (12.5 in) as the other two sides.

Using the Pythagorean theorem:
h^2 + (12.5)^2 = (24)^2

h^2 + 156.25 = 576

h^2 = 576 - 156.25

h^2 = 419.75

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

h ≈ 20.48

Rounding to the nearest whole number, the height of the pyramid is approximately 20 inches.