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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.

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.

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Mark D. Share
May 12, 2018

Answer:

Height is 8 feet

Explanation:

The area of each triangle : #240/4=60ft^2#

The base is 12 feet, #1/2 xx 12 xx 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#

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