A right pyramid with a square base has a base edge length of 24 feet and slant height of 20 feet. The height of the pyramid is 'blank' feet.

Question

asked Nov 23, 2020 129k views

2 Answers

Amalfi · Answer 1 · 2020-11-29T05:25:20+0000

Answer:

The height of the pyramid is 16 feet.

Explanation:

A right pyramid with a square base has a base edge length of 24 feet.

The slant height is 20 feet.

We take the half of base here that is 12.

Let the height be h, applying Pythagoras theorem.

h^(2) =20^(2) -12^(2)

Solving for h;

h^(2) =400-144

=>
h^(2) =400-144

=>
h^(2) =256

=>
h=√(256)

h = 16

Therefore, The height of the pyramid is 16 feet.