Question

Find the slant height of this square pyramid.

Answer 1

`3√(3)`

Explanation:

On the attached diagram, the slant height is denoted as s. In your case, the height s is the height of the equilateral triangle with side 6.

The height of the equilateral triangle with side a can be calculated as

`s=(a√(3))/(2).`

Thus,

`s=(6√(3))/(2)=3√(3).`

Answer 2

3√3 in

Explanation:

The lateral side is the equilateral triangle.

The formula of a height of an equilateral triangle with the sides a

`h=(a\sqrt3)/(2)`

We have a = 6 in.

Substitute:

`h=(6\sqrt3)/(2)=3\sqrt3`