321 ft.

Question

436.5 ft.
The Pyramid is an arena in Memphis, Tennessee. Its height is 321 ft., and its
slant height is 436.5 ft. Find the length of the edge of the square base. Round
the answer to the nearest tenth.

Answer 1

To find the length of the edge of the square base, we can use the Pythagorean theorem.

The slant height is the hypotenuse, the height is one leg, and the edge of the square base is the other leg.

Let x be the length of the edge of the base.

Using the Pythagorean theorem:

x^2 + 321^2 = 436.5^2

x^2 + 103041 = 190692.25

x^2 = 87551.25

x = √87551.25

x ≈ 296.0 ft

Therefore, the length of the edge of the square base is approximately 296.0 ft.