Question

Use the image to answer the question.

A square pyramid is shown. Its height is shown with a dotted line labeled 321 feet. Its slant height is shown with a dotted line labeled 436.5 feet. The variable l is shown along one of the edges of the square base.

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)

explain bot

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 height of the pyramid (321 ft) is one leg of a right triangle, the slant height (436.5 ft) is the hypotenuse, and the length of the edge of the square base (l) is the other leg.

Using the Pythagorean theorem, we have:

321^2 + l^2 = (436.5)^2

Simplifying the equation, we get:

l^2 = (436.5)^2 - 321^2

l^2 = 190641.25 - 103041

l^2 = 87600.25

Taking the square root of both sides, we get:

l = √87600.25

l ≈ 296.1

Therefore, the length of the edge of the square base is approximately 296.1 feet.