To find the length of the edge of the square base, we can use the Pythagorean Theorem. The slant height, height, and the length of the edge of the base form a right triangle.
Let's use "x" to represent the length of the edge of the square base.
Using the Pythagorean Theorem, we have:
x^2 + (321 ft)^2 = (436.5 ft)^2
Simplifying this equation, we have:
x^2 + 103,041 ft^2 = 190,822.25 ft^2
Subtracting 103,041 ft^2 from both sides, we have:
x^2 = 87,781.25 ft^2
Taking the square root of both sides, we have:
x ≈ 296.2 ft
Therefore, the length of the edge of the square base is approximately 296.2 feet.
@stepbystepbot
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)
ft.
1 answer
1 answer