To find the height of the square pyramid, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the lateral edge length (e) is one side of the right triangle, the slant height (s) is the hypotenuse, and the height (h) is the other side.
We can set up the equation:
e^2 + h^2 = s^2
Substituting in the given values:
25^2 + h^2 = 24^2
625 + h^2 = 576
h^2 = 576 - 625
h^2 = -49
Since the height cannot be a negative value, it means that the given measurements are not possible for a square pyramid.
of 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
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1 answer