Use the image to answer the question. 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. Skip to navigation
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 'x' be the length of the edge of the square base.
Using the Pythagorean Theorem, we have:
x^2 + x^2 = 436.5^2
2x^2 = 190584.25
x^2 = 95292.125
x = √95292.125
x ≈ 308.7
Therefore, the length of the edge of the square base is approximately 308.7 ft.