Question

The Pyramid is an arena in Memphis, Tennessee. It’s height is 321 ft., and it’s slant height is 436.5 ft. Find the length of the edge of the square base. Round the answer to the nearest tenth

Answer 1

To find the length of the edge of the square base of the Pyramid, we can use the Pythagorean theorem. The slant height of the Pyramid is the hypotenuse of a right triangle, with the height of the Pyramid as one leg and half the length of the base as the other leg.

Step-by-step explanation:

To find the length of the edge of the square base of the Pyramid, we can use the Pythagorean theorem. The slant height of the Pyramid is the hypotenuse of a right triangle, with the height of the Pyramid as one leg and half the length of the base as the other leg. Let's call the length of the base x.

Using the Pythagorean theorem, we have:

x^2 + (321/2)^2 = 436.5^2

Simplifying the equation, we get:

x^2 + 51461.25 = 190712.25

x^2 = 139251

Taking the square root of both sides, we find:

x ≈ 372.9 ft

So, the length of the edge of the square base of the Pyramid is approximately 372.9 ft.