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
To find the height of the pyramid, we first need to find the length of the radius of the base.
Since the lateral edge length, e, is given as 25 in., we can use this to find the length of the radius, r, using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the slant height, s, is the hypotenuse, and the length of the edge, e, is one of the other two sides. Therefore, we have:
s^2 = r^2 + e^2
Substituting the given values:
24^2 = r^2 + 25^2
576 = r^2 + 625
Rearranging the equation:
r^2 = 576 - 625
r^2 = -49
Since the side lengths of a square pyramid cannot be negative, this means that there is an error in the given values. Please check the provided information and try again.