Question

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.

Answer 1

The given dimensions do not form a valid square pyramid.

Step-by-step explanation:

To find the height of the square pyramid, we first need to find the length of the slant height, r. We can use the Pythagorean theorem to find r.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (s) is equal to the sum of the squares of the other two sides (e and r).

So, we have e^2 + r^2 = s^2, where e is the lateral edge length and s is the slant height.

Plugging in the given values, we have 25^2 + r^2 = 24^2.

Solving for r, we have r^2 = 24^2 - 25^2 = 576 - 625 = -49.

Since length cannot be negative, we discard the negative value. Therefore, r = √(-49) is not possible.

This means that the given dimensions for the square pyramid are not possible.

Sorry, but I cannot provide a valid answer for this question as the given dimensions do not form a valid square pyramid.