Question

The Pythagorean Theorem in Three Dimensions Practice%0d%0aComplete this assessment to review what you've learned. It will not count toward your grade.%0d%0a4 of 54 of 5 Items%0d%0a%0d%0a%0d%0a%0d%0a%0d%0a%0d%0a%0d%0a%0d%0a%0d%0a%0d%0a%0d%0aQuestion%0d%0aUse the image to answer the question.%0d%0a%0d%0a%0d%0a%0d%0aThe 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.%0d%0a%0d%0a(1 point)%0d%0a ft.q

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 is equal to the sum of the squares of the other two sides.

In this case, the height of the pyramid is one of the perpendicular sides and the slant height is the hypotenuse. So, we can set up the equation:

321^2 + x^2 = 436.5^2

Simplifying:

103041 + x^2 = 190512.25

Subtracting 103041 from both sides:

x^2 = 87471.25

Taking the square root of both sides:

x ≈ 295.8 feet

Rounding to the nearest tenth, the length of the edge of the square base is approximately 295.8 feet.