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
To find the length of the edge of the square base, we can use the Pythagorean Theorem.
Let's denote the length of the edge of the square base as 's'.
According to the Pythagorean Theorem:
(s/2)^2 + 321^2 = (436.5)^2
s^2/4 + 103,041 = 190,622.25
s^2/4 = 190,622.25 - 103,041
s^2/4 = 87,581.25
s^2 = 87,581.25 * 4
s^2 = 350,325
Taking the square root of both sides:
s = √350,325
s ≈ 591.3
Therefore, the length of the edge of the square base is approximately 591.3 feet.