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# What do i do?

## The lateral area of a pyramid with a square base is 240 ft^2. Its base edges are 12 ft long. Find the height of the pyramid.

May 12, 2018

Height is 8 feet

#### Explanation:

The area of each triangle : $\frac{240}{4} = 60 f {t}^{2}$

The base is 12 feet, $\frac{1}{2} \times 12 \times h = 60$ so the slant height is 10 feet

If we take the slant height, the perpendicular height and half the base we make a right angled triangle.

${10}^{2} - {6}^{2} = {h}^{2}$

$64 = {h}^{2}$

$h = 8$