The pyramid is an arena in Memphis Tennessee it's height is 321 ft and it's slant height is 436.5 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 since we have the height and the slant height.

Let's call the length of the edge of the square base "x". Then, we can set up the following equation:

x^2 + 321^2 = 436.5^2

x^2 + 103041 = 190358.25

x^2 = 190358.25 - 103041

x^2 = 87317.25

x ≈ √87317.25

x ≈ 295.2 (rounded to the nearest tenth)

Therefore, the length of the edge of the square base of the pyramid is approximately 295.2 feet.