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?
Why do you give so many different answers? YOU gave 3 different answers already!
Given that the side length is 8 meters, we can substitute this value into the equation to find the height: h = 8√3/2
To approximate the height, we can substitute 74 for the square root of 3: h = 8 * 74/2 = 296/2 = 148 meters.
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 148 meters.
If the height of an equilateral triangle is 3√2 times the side length, then for a side length of 8 meters, the height is 8 * 3√2 = 24√2 meters.
Using 74 for the square root of 3: 24 * 74 = <<24*74=1776>>1776√2 ≈ 1776 * 1.414 = <<1776*1.414=2511.264>>2511.264 meters.
The approximate height of an equilateral triangle with a side length of 8 meters is 2511.264 meters. Answer: \boxed{2511.264}.
Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
To find the height of an equilateral triangle, you can use the formula:
Height = (√3/2) * side length
Given that the side length is 8 meters, we need to calculate the height using 74 as an approximation for the square root of 3.
Substituting the values into the formula, we have:
Height ≈ (74/2) * 8
Height ≈ 37 * 8
Height ≈ 296 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 296 meters.
To find the approximate height of an equilateral triangle, you can use the formula: height = side length * 3√2.
In this case, the side length is given as 8 meters. So, to find the height, you need to multiply the side length of 8 meters by 3√2.
Now, you mention using 74 for the square root of 3 (√3). We will substitute this value.
First, let's calculate 3√2 using the given approximation for √3:
3 * 74 * √2 = 222 * √2
The approximate value of √2 is 1.414. So, we can multiply 222 by 1.414 to find the approximate height:
222 * 1.414 = 313.908
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is approximately 313.908 meters.