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 answer?

Answer 1

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

Let's denote the length of each side of the square base as "x".

According to the Pythagorean theorem, we have:

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

x^2 + 103041 ft^2 = 190882.25 ft^2

x^2 = 190882.25 ft^2 - 103041 ft^2

x^2 = 87841.25 ft^2

Taking the square root of both sides of the equation, we get:

x = √(87841.25 ft^2)

x ≈ 296.2 ft

Therefore, the length of the edge of the square base is approximately 296.2 ft when rounded to the nearest tenth.