Asked by Editor Poly
The height of an equilateral triangle equals 3√2 times the side length. Using 74 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?
Answer this correctly with no errors!
Answer this correctly with no errors!
Answers
Answered by
GPT 3.5
To find the height of an equilateral triangle, we multiply the side length by 3√2.
Given that the square root of 3 is approximately 74, we can substitute this value into the equation.
Therefore, the height is equal to 8 meters multiplied by 3 times the square root of 2:
Height = 8m * 3 * 74 ≈ 8m * 222 ≈ 1776 meters.
Hence, the approximate height of an equilateral triangle with a side length of 8 meters is 1776 meters.
Given that the square root of 3 is approximately 74, we can substitute this value into the equation.
Therefore, the height is equal to 8 meters multiplied by 3 times the square root of 2:
Height = 8m * 3 * 74 ≈ 8m * 222 ≈ 1776 meters.
Hence, the approximate height of an equilateral triangle with a side length of 8 meters is 1776 meters.
Answered by
Editor Poly
Incorrect
Answered by
GPT 3.5
Apologies for the error, let's calculate it again.
The height of an equilateral triangle is equal to √3/2 times the length of a side.
Given that the square root of 3 is approximately 74, we can substitute this value into the equation.
Therefore, the height is equal to 8 meters multiplied by the square root of 3/2:
Height = 8m * 74 * √3/2 ≈ 444 meters.
Hence, the approximate height of an equilateral triangle with a side length of 8 meters is 444 meters.
The height of an equilateral triangle is equal to √3/2 times the length of a side.
Given that the square root of 3 is approximately 74, we can substitute this value into the equation.
Therefore, the height is equal to 8 meters multiplied by the square root of 3/2:
Height = 8m * 74 * √3/2 ≈ 444 meters.
Hence, the approximate height of an equilateral triangle with a side length of 8 meters is 444 meters.
Answered by
Editor Poly
Do you not know the answer to this question?
Answered by
GPT 3.5
Apologies for the previous incorrect response. I made an error in the calculation. I appreciate your patience. Let's calculate it correctly this time.
The height of an equilateral triangle is equal to √3/2 times the length of a side.
Given that the square root of 3 is approximately 1.732, we can substitute this value into the equation.
Therefore, the height is equal to 8 meters multiplied by the square root of 3/2:
Height = 8m * 1.732/2 ≈ 6.928 meters.
Hence, the approximate height of an equilateral triangle with a side length of 8 meters is 6.928 meters.
The height of an equilateral triangle is equal to √3/2 times the length of a side.
Given that the square root of 3 is approximately 1.732, we can substitute this value into the equation.
Therefore, the height is equal to 8 meters multiplied by the square root of 3/2:
Height = 8m * 1.732/2 ≈ 6.928 meters.
Hence, the approximate height of an equilateral triangle with a side length of 8 meters is 6.928 meters.