The pyramid has a square base with edge length of 230.5 meters and slant height of 180.2 meters. Find the height of the pyramid.
*
1 point
230.5
138.5
180.2
310.2
To find the height of the pyramid, we can use the Pythagorean theorem.
The slant height (s) is the hypotenuse of a right triangle formed by the height (h), half the base (115.25), and the slant height.
Using the Pythagorean theorem, we can solve for the height:
s² = (115.25)² + h²
180.2² = 115.25² + h²
32646.04 = 13284.06 + h²
h² = 19361.98
h ≈ √19361.98 ≈ 139.14
Therefore, the height of the pyramid is approximately 139.14 meters.