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.

5 answers

Let's use the Pythagorean theorem to find the length of one side of the square base.

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 case, the slant height is the hypotenuse, the height is one of the sides, and the length of the edge of the square base is the other side.

Let's call the length of the edge of the square base "x".

Using the Pythagorean theorem, we can write the equation:
x^2 + height^2 = slant height^2

Plugging in the given values, we get:
x^2 + 321^2 = 436.5^2

Simplifying the equation, we have:
x^2 + 103041 = 190392.25

Subtracting 103041 from both sides of the equation, we get:
x^2 = 87351.25

Taking the square root of both sides, we have:
x ≈ 295.6

Therefore, the length of the edge of the square base is approximately 295.6 feet.

thats wrong

935.9

nvm -_-

The answer is 591.6