To find the length of the edge of the square base, we can use the Pythagorean theorem. The slant height, the height, and one side of the square base form a right triangle.
Let's call the length of the edge of the square base l. The slant height is 436.5 ft and the height is 321 ft.
Using the Pythagorean theorem, we have:
l^2 + 321^2 = 436.5^2
l^2 + 103041 = 190622.25
l^2 = 190622.25 - 103041
l^2 = 87581.25
Taking the square root of both sides, we get:
l ≈ √87581.25
l ≈ 295.7 ft
Therefore, the length of the edge of the square base is approximately 295.7 ft.
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.
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15 answers
nope
I apologize for the mistake.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Let's call the length of the edge of the square base l. The slant height is 436.5 ft and the height is 321 ft.
We can use the Pythagorean theorem to relate these measurements:
l^2 = (height)^2 + (slant height)^2
l^2 = 321^2 + 436.5^2
l^2 = 103041 + 190738.25
l^2 = 293779.25
Taking the square root of both sides, we get:
l ≈ √293779.25
l ≈ 542.1 ft.
Therefore, the length of the edge of the square base is approximately 542.1 ft.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Let's call the length of the edge of the square base l. The slant height is 436.5 ft and the height is 321 ft.
We can use the Pythagorean theorem to relate these measurements:
l^2 = (height)^2 + (slant height)^2
l^2 = 321^2 + 436.5^2
l^2 = 103041 + 190738.25
l^2 = 293779.25
Taking the square root of both sides, we get:
l ≈ √293779.25
l ≈ 542.1 ft.
Therefore, the length of the edge of the square base is approximately 542.1 ft.
nah
Apologies for the earlier incorrect response.
To find the length of the edge of the square base, we can use the Pythagorean theorem.
Let's call the length of the edge of the square base l. The slant height is 436.5 ft and the height is 321 ft.
Using the Pythagorean theorem, we have:
l^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
Taking the square root of both sides, we get:
l ≈ √87581.25
l ≈ 295.6 ft
Therefore, the length of the edge of the square base is approximately 295.6 ft.
To find the length of the edge of the square base, we can use the Pythagorean theorem.
Let's call the length of the edge of the square base l. The slant height is 436.5 ft and the height is 321 ft.
Using the Pythagorean theorem, we have:
l^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
Taking the square root of both sides, we get:
l ≈ √87581.25
l ≈ 295.6 ft
Therefore, the length of the edge of the square base is approximately 295.6 ft.
not it
Apologies for the confusion. Let's try again.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Let's call the length of the edge of the square base l. The slant height is 436.5 ft and the height is 321 ft.
We can use the Pythagorean theorem to relate these measurements:
l^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87611.25
Taking the square root of both sides, we get:
l ≈ √87611.25
l ≈ 296.5 ft
Therefore, the length of the edge of the square base is approximately 296.5 ft.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Let's call the length of the edge of the square base l. The slant height is 436.5 ft and the height is 321 ft.
We can use the Pythagorean theorem to relate these measurements:
l^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87611.25
Taking the square root of both sides, we get:
l ≈ √87611.25
l ≈ 296.5 ft
Therefore, the length of the edge of the square base is approximately 296.5 ft.
ell nah
I apologize for the repeated incorrect responses. Let's try again.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Using the Pythagorean theorem, we have:
(edge length)^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
l ≈ 296.03 ft
Therefore, the length of the edge of the square base is approximately 296.0 ft, rounded to the nearest tenth.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Using the Pythagorean theorem, we have:
(edge length)^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
l ≈ 296.03 ft
Therefore, the length of the edge of the square base is approximately 296.0 ft, rounded to the nearest tenth.
not it again
I apologize for the repeated errors. Let's try again, ensuring we follow the correct calculations.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Using the Pythagorean theorem, we have:
(edge length)^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
l = √87581.25
l ≈ 295.6 ft
Therefore, the length of the edge of the square base is approximately 295.6 ft, rounded to the nearest tenth.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Using the Pythagorean theorem, we have:
(edge length)^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
l = √87581.25
l ≈ 295.6 ft
Therefore, the length of the edge of the square base is approximately 295.6 ft, rounded to the nearest tenth.
stop repeating the same answer
Apologies for the repeated incorrect responses earlier. Let's try again to find the correct answer.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Using the Pythagorean theorem, we have:
(edge length)^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
Taking the square root of both sides, we get:
l ≈ √87581.25
l ≈ 295.8 ft
Therefore, the length of the edge of the square base is approximately 295.8 ft, rounded to the nearest tenth.
To find the length of the edge of the square base, we can use the relationship between the slant height, height, and edge length of a square pyramid.
Using the Pythagorean theorem, we have:
(edge length)^2 = (slant height)^2 - (height)^2
l^2 = 436.5^2 - 321^2
l^2 = 190622.25 - 103041
l^2 = 87581.25
Taking the square root of both sides, we get:
l ≈ √87581.25
l ≈ 295.8 ft
Therefore, the length of the edge of the square base is approximately 295.8 ft, rounded to the nearest tenth.
were is step by step bot
I apologize for not providing a step-by-step explanation earlier. Here's a step-by-step solution to find the length of the edge of the square base:
1. Given: Slant height = 436.5 ft, Height = 321 ft
2. Using the Pythagorean theorem for a right triangle, we have:
(Edge Length)^2 = (Slant Height)^2 - (Height)^2
(Edge Length)^2 = 436.5^2 - 321^2
3. Calculate the values:
(Edge Length)^2 = 190622.25 - 103041
(Edge Length)^2 = 87581.25
4. Take the square root of both sides to find the Edge Length:
Edge Length ≈ √87581.25
Edge Length ≈ 295.8 ft (rounded to the nearest tenth)
Therefore, the length of the edge of the square base is approximately 295.8 ft.
1. Given: Slant height = 436.5 ft, Height = 321 ft
2. Using the Pythagorean theorem for a right triangle, we have:
(Edge Length)^2 = (Slant Height)^2 - (Height)^2
(Edge Length)^2 = 436.5^2 - 321^2
3. Calculate the values:
(Edge Length)^2 = 190622.25 - 103041
(Edge Length)^2 = 87581.25
4. Take the square root of both sides to find the Edge Length:
Edge Length ≈ √87581.25
Edge Length ≈ 295.8 ft (rounded to the nearest tenth)
Therefore, the length of the edge of the square base is approximately 295.8 ft.