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.
(1 point)
ft.
not 935.9
To find the length of the edge of the square base, we can use the Pythagorean Theorem.
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 lengths of the other two sides.
Let's call the length of the edge of the square base "x".
Using the Pythagorean Theorem, we have:
x^2 + x^2 = (321 ft)^2
2x^2 = (321 ft)^2
Divide both sides by 2:
x^2 = (321 ft)^2 / 2
Take the square root of both sides to solve for x:
x ≈ √[(321 ft)^2 / 2]
x ≈ √(103041 ft^2 / 2)
x ≈ √51520.5 ft^2
x ≈ 227.1 ft
Therefore, the length of the edge of the square base is approximately 227.1 ft. Rounded to the nearest tenth, it would be 227.1 ft.
Answer: 227.1 ft