Question

Height of a pyramid 12 ft base 6 ft and 8 ft sides

Answer 1

To find the height of the pyramid, we can use the Pythagorean theorem. The height, base, and slant height form a right triangle.

Using the Pythagorean theorem:

(height)^2 + (base/2)^2 = (slant height)^2

Let h be the height of the pyramid.

h^2 + (6/2)^2 = 8^2
h^2 + 3^2 = 64
h^2 + 9 = 64
h^2 = 55
h = √55

Therefore, the height of the pyramid is approximately 7.42 ft.