To find the height of the pyramid, we need to first find the length of the slant height \(r\).
In a square pyramid, the slant height (\(s\)) is the hypotenuse of a right triangle, with the height (\(h\)) as one of the legs and the lateral edge length (\(e\)) as the other leg.
Using the Pythagorean theorem, we can write the equation:
\[r^2 = h^2 + e^2\]
Substituting the given values, we have:
\[24^2 = h^2 + 25^2\]
Simplifying, we get:
\[576 = h^2 + 625\]
Rearranging the equation, we have:
\[h^2 = 576 - 625\]
\[h^2 = -49\]
Since the square of any real number cannot be negative, this equation has no real solutions. Therefore, the height of the square pyramid cannot be determined with the given information.
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
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(1 point)
The height of the square pyramid is
in.
not 21
1 answer
1 answer