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
can be found using the Pythagorean Theorem.
The slant height (s) is the hypotenuse of a right triangle formed by the height (h) and the lateral edge length (e).
Using the Pythagorean Theorem, we have:
s^2 = e^2 + h^2
24^2 = 25^2 + h^2
576 = 625 + h^2
h^2 = 576 - 625
h^2 = -49
Since the height cannot be negative, there is no real solution for h in this case.
Therefore, the height of the square pyramid cannot be determined.