We can use the Pythagorean theorem to solve this problem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this problem, the pyramid forms a right triangle with one side being the height of 321 ft, one side being the slant height of 436.5 ft, and the hypotenuse being the length of the edge of the square base that we are trying to find.
Let's call the length of the edge of the square base "x". We can set up the equation using the Pythagorean theorem:
x^2 = 436.5^2 - 321^2
Simplifying the equation:
x^2 = 190225.25 - 103041
x^2 = 87284.25
Taking the square root of both sides:
x ≈ sqrt(87284.25)
x ≈ 295.2 ft
Therefore, the length of the edge of the square base is approximately 295.2 feet.
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
USe the Pythagorean theorem
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