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. what is the length of the ledge of the square base?

Answer 1

To find the length of the edge of the square base, we can use the Pythagorean theorem.

Let's represent the length of the edge of the square base as "x".

The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides:

x^2 + x^2 = (436.5)^2

Simplifying this equation, we get:

2x^2 = 190660.25

Dividing both sides of the equation by 2, we have:

x^2 = 95330.125

To solve for x, we take the square root of both sides of the equation:

x = √95330.125

x ≈ 308.8 ft.

Therefore, the length of the edge of the square base of the Pyramid is approximately 308.8 feet.