What is the slant height of this square pyramid. Answer in radical form.

The base of a regular pyramid is a hexagon. What is the area of the base of the pyramid? Answer in radical form.

We can use the sine, here

sin(60”) = x / 4 multiply both sides by 4

4 sin (60°) = x

4 * √3 / 2 = x = 2√3 m = slant height

The area of the base =

6 * (1/2) (8^2) sin (60° ) =

192 * √3 / 2 =

96√3 m^2