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. (the length of the edge of the square base is L) what is L divided by 2 and when its not divided by 2.
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 as L.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the slant height is the hypotenuse, the height is one of the other sides, and the edge length (L) is the remaining side.
Using the Pythagorean theorem, we have:
L^2 + 321^2 = 436.5^2
Simplifying this equation, we get:
L^2 + 103041 = 190692.25
Subtracting 103041 from both sides, we have:
L^2 = 87651.25
Taking the square root of both sides, we find:
L ≈ 296.09 ft.
Therefore, the length of the edge of the square base is approximately 296.1 ft.
When we divide L by 2, we get:
296.1 / 2 = 148.05 ft.
And when L is not divided by 2:
296.1 ft.