To find the height of the pyramid, we need to first find the length of the base of the pyramid, which is equal to the length of its lateral edge.
Given that the lateral edge length (e) is 25 inches, we can conclude that the length of the base (r) is also 25 inches.
Now, let's apply the Pythagorean theorem to find the height (h) of the pyramid.
The equation we can set up is:
(r^2) + (h^2) = (s^2)
Substituting the known values:
(25^2) + (h^2) = (24^2)
Simplifying the equation:
625 + (h^2) = 576
Subtracting 576 from both sides:
h^2 = 576 - 625
Simplifying the right side:
h^2 = -49
Since we cannot take the square root of a negative number, we conclude that there is no real solution for h.
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 is?
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