Find the slant height of the square pyramid.
(1 point)
__units
16 in base and 15 in height
To find the slant height of a square pyramid, we can use the Pythagorean theorem.
The slant height is the hypotenuse of a right triangle, where the base and height of the triangle are the length and height of the pyramid's triangular face.
Given that the base of the pyramid is 16 inches and the height is 15 inches, we can calculate the slant height:
Slant height^2 = Base^2 + Height^2
Slant height^2 = 16^2 + 15^2
Slant height^2 = 256 + 225
Slant height^2 = 481
Taking the square root of both sides, we find:
Slant height ≈ √481 ≈ 21.93
Therefore, the slant height of the square pyramid is approximately 21.93 inches.