Respuesta :

Answer:16

Step-by-step explanation:

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.

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