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 since we know the height and slant height of the pyramid.
Let's denote the length of the edge of the square base as "x".
Using the Pythagorean theorem, we can write the following equation:
x^2 + (321 ft)^2 = (436.5 ft)^2
x^2 + 103041 ft^2 = 190612.25 ft^2
x^2 = 190612.25 ft^2 - 103041 ft^2
x^2 = 87571.25 ft^2
Taking the square root of both sides, we get:
x ≈ √(87571.25 ft^2)
x ≈ 296 ft (rounded to the nearest tenth)
Therefore, the length of the edge of the square base is approximately 296 feet.