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)
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 square of the length of the edge of the square base is equal to the square of the height plus the square of the slant height.
So, we have:
x^2 = 321^2 + 436.5^2
x^2 = 103041 + 190591.25
x^2 = 293632.25
To find the length of the edge of the square base, we take the square root of both sides:
x = √293632.25
x ≈ 541.03
Therefore, the length of the edge of the square base, rounded to the nearest tenth, is approximately 541.0 feet.