Question

The base of a pyramid is a square with dimensions 12 in by 12 in. The height of the pyramid is 10 in. What is the slant height of the pyramid?

Show work.

Answer 1

The slant height is the hypotenuse of the right triangle formed by the height and half the base length. Use the Pythagorean Theorem.

a² + b² = c²

6² + 10² = c²

36 + 100 = c²

136 = c²

√136 = √c²

c = 11.66 in