Question

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

Answer 1

The height of the pyramid is $16ft.$

What does it mean by right pyramid?

The centroid of the base sits just above the right pyramid. Oblique pyramids are non-right pyramids. A right pyramid is typically assumed to be a regular pyramid because it has a regular polygon base.

To find the height of the pyramid:

l=the slant height of the right pyramid.

b=the length side of the square base of the right pyramid.

h=the height of the right pyramid.

Pythagorean Theorem: $l^{2} =h^{2} +(\frac{b}{2} )^{2}$

Solve:h

$h^{2} =l^{2} +(\frac{b}{2} )^{2}$

$h^{2} =20^{2} -12^{2}$

$h^{2} =256$

$h=16ft$

Therefore, The height of the pyramid is $16ft.$

To learn more about the pyramid, refer to:

brainly.com/question/218706

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