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. The height of the square pyramid is?

Answer 1

We can use the Pythagorean theorem to solve for the height of the pyramid.

In a square pyramid, the slant height, s, is the hypotenuse of a right triangle, with the lateral edge length, e, and the height, h, as the other two sides.

Using the Pythagorean theorem, we have:

s^2 = e^2 + h^2

Substituting the given values, we have:

24^2 = 25^2 + h^2

Simplifying,

576 = 625 + h^2

Rearranging,

h^2 = 576 - 625

h^2 = -49

Since we cannot have a negative height, there is no real solution for h in this case.

Therefore, the height of the pyramid cannot be determined with the given information.