Question

Find the slant height of this square pyramid.

Answer 1

Answer:

3√3 in

Step-by-step explanation:

The lateral side is the equilateral triangle.

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

$h=\dfrac{a\sqrt3}{2}$

We have a = 6 in.

Substitute:

$h=\dfrac{6\sqrt3}{2}=3\sqrt3$

Answer 2

Answer:

$3\sqrt{3}$

Step-by-step 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

$s=\dfrac{a\sqrt{3}}{2}.$

Thus,

$s=\dfrac{6\sqrt{3}}{2}=3\sqrt{3}.$