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?
Given that the height of the equilateral triangle equals 3√2 times the side length, we can calculate the height as follows:
Height = (3√2) * side length
Given that the side length is 8 meters and using 74 for the square root of 3, we can substitute these values into the equation to find the height:
Height = (3√2) * 8 meters
= (3 * 74 * 8) / 100 meters
= (3 * 592) / 100 meters
= 1776 / 100 meters
= 17.76 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is approximately 17.76 meters.
Can you answer that question again, I am not sure if that is correct.
Apologies for the confusion. Let's re-calculate the height using the given information.
Given that the height of an equilateral triangle is 3√2 times the side length, we can set up the equation as follows:
Height = 3√2 * Side Length
Substituting the values, with 74 being the approximate square root of 3:
Height = 3 * 74 * 8 meters
= 222 * 8 meters
= 1776 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 1776 meters.
that's incorrect, give the correct answer please.
Apologies for the previous incorrect answer. Let's recalculate the height using the correct formula.
Given that the height of an equilateral triangle is 3√2 times the side length, we can set up the equation as follows:
Height = 3√2 * Side Length
Substituting the values, with 74 being the approximate square root of 3:
Height = 3 * √2 * 8 meters
= 3 * 1.414 * 8 meters
= 33.941 meters (rounded to 3 decimal places)
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is approximately 33.941 meters.
that's not right, ANSWER THE QUESTION CORRECTLY!
Apologies for the confusion. Let's calculate the height correctly using the given information.
Given that the height of an equilateral triangle is 3√2 times the side length, we can set up the equation as follows:
Height = 3√2 * Side Length
Substituting the values, with 74 being the approximate square root of 3:
Height = 3 * √2 * 8 meters
= 3 * 1.414 * 8 meters
= 33.941 meters (rounded to 3 decimal places)
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is approximately 33.941 meters.