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.
Is not 195.6-9
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 "x."
Using the Pythagorean theorem, we have:
x^2 + (321 ft)^2 = (436.5 ft)^2
Simplifying the equation:
x^2 + 103041 ft^2 = 190735.25 ft^2
Subtracting 103041 ft^2 from both sides:
x^2 = 87694.25 ft^2
Taking the square root of both sides:
x ≈ 296.1 ft
Rounding to the nearest tenth:
x ≈ 296.1 ft