The pyramid is an arena in Memphis Tennessee as high as 321 ft and it's not hot is 436.5 ft find the length of the edge of the square base round to the nearest tenth

Answer 1

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

Let the side length of the square base be x.

The height of the pyramid (h) is 321 ft, and the slant height (s) is 436.5 ft.

Using the Pythagorean theorem, we have:
x^2 + (0.5x)^2 = 321^2
x^2 + 0.25x^2 = 103041
1.25x^2 = 103041
x^2 = 103041 / 1.25
x^2 = 82432.8
x = √82432.8
x ≈ 287.1 ft

Therefore, the length of the edge of the square base of the pyramid is approximately 287.1 ft when rounded to the nearest tenth.