Find the slant height of the square pyramid 16 and 15
To find the slant height of a square pyramid, we can use the Pythagorean theorem.
In a square pyramid, the slant height is the hypotenuse of a right triangle, with one leg being the height of the pyramid and the other leg being half the length of one of the sides of the base.
Given that the height is 16 and the length of one side of the base is 15, we can find the length of the slant height by using the Pythagorean theorem.
Let's call the slant height "s".
Using the Pythagorean theorem, we have:
s² = (15/2)² + 16²
Simplifying this equation:
s² = (225/4) + 256
s² = 225/4 + 1024/4
s² = 1249/4
Taking the square root of both sides to solve for "s":
s = √(1249/4)
Using a calculator, we can find that:
s ≈ 19.830
Therefore, the slant height of the square pyramid is approximately 19.830.