The Pyramid is an area in Memphis, Tennessee. Its height is 321 ft, and is slant height is 436.5 ft. Find the length of the edge of the square base. Round the answer to the nearest tenth.
Please get this answer correct
To find the length of the edge of the square base, we need to use the Pythagorean theorem.
Let's call the length of the edge of the square base "x."
According to the Pythagorean theorem, the height, slant height, and half the length of the diagonal of the base form a right triangle.
The height is one leg of the right triangle, and the slant height is the hypotenuse.
Using the Pythagorean theorem, we have:
(x/2)^2 + 321^2 = 436.5^2
(x^2/4) + 103041 = 190536.25
x^2/4 = 87495.25
x^2 = 349981
x ≈ √349981
x ≈ 591.6
Therefore, the length of the edge of the square base is approximately 591.6 feet.