To find the slant height of a square pyramid, we can use the Pythagorean theorem.
Since the base of the pyramid is a square, all four sides are congruent. Therefore, each side of the base has a length of 16.
Let's call the slant height "s" and the height of the pyramid "h".
The slant height, the height, and half the base edge form a right triangle.
Using the Pythagorean theorem, we have:
s^2 = h^2 + (1/2 * base edge)^2
Plugging in the given values:
s^2 = 15^2 + (1/2 * 16)^2
s^2 = 225 + 8^2
s^2 = 225 + 64
s^2 = 289
Taking the square root of both sides:
s = √289
s = 17
Therefore, the slant height of the square pyramid is 17.
Find the slant height of the square pyramid.
height = 15
base edge = 16
1 answer
1 answer