Respuesta :
Answer:
The height of the pyramid is 16 feet.
Step-by-step 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.
[tex]h^{2} =20^{2} -12^{2}[/tex]
Solving for h;
[tex]h^{2} =400-144[/tex]
=> [tex]h^{2} =400-144[/tex]
=> [tex]h^{2} =256[/tex]
=> [tex]h=\sqrt{256}[/tex]
h = 16
Therefore, The height of the pyramid is 16 feet.
