321 ft.
436.5 ft.
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.
Let's use the Pythagorean theorem to find the length of the edge of the square base.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the slant height in this case) is equal to the sum of the squares of the other two sides.
So, let's denote the length of the edge of the square base as x.
Using the Pythagorean theorem:
x^2 + x^2 = 436.5^2
2x^2 = 190303.25
x^2 = 95151.625
x = sqrt(95151.625)
x ≈ 308.7 ft
Therefore, the length of the edge of the square base of the Pyramid is approximately 308.7 ft.