To find the length of the edge of the square base, we can use the Pythagorean theorem. The slant height, height, and one side of the base form a right triangle.
Let's label the length of the edge of the square base as "l".
Using the Pythagorean theorem, we have:
l^2 = (436.5)^2 - (321)^2
l^2 = 190.5225 - 103041
l^2 = 103230.4775
Taking the square root of both sides to solve for l:
l = √103230.4775
l ≈ 321.1
Therefore, the length of the edge of the square base is approximately 321.1 ft.
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