Find the slant height of the square pyramid. 16, 15
To find the slant height of a square pyramid, you can use the Pythagorean theorem. The slant height forms a right triangle with the height and half the length of the base of the pyramid.
Given that the height is 16 and half the length of the base is 15, let's label the slant height as "s," the height as "h," and half the length of the base as "b."
Using the Pythagorean theorem, we have the equation s^2 = h^2 + b^2.
Substituting the given values into the equation, we get s^2 = 16^2 + 15^2.
Calculating this expression gives us s^2 = 256 + 225.
Combining like terms, we get s^2 = 481.
Taking the square root of both sides, we find s = √481.
Therefore, the slant height of the square pyramid is approximately √481.