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.
(1 point)
ft.
We can use the Pythagorean theorem to solve for the length of the edge of the square base. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's represent the length of the edge of the square base as "x". We have the equation:
x^2 + 321^2 = 436.5^2
x^2 + 103041 = 190641.25
x^2 = 875600.25
x = sqrt(875600.25)
x ≈ 935.9
Therefore, the length of the edge of the square base is approximately 935.9 ft.