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?(1 point)
(How do I calculate this for the future?)
To calculate the height of an equilateral triangle, you can use the formula: height = side length * √3 / 2.
In this case, the side length is 8 meters and √3 is given as 74.
So, height = 8 * 74 / 2.
Calculating this gives us: height = 296 / 2 = 148 meters.
Therefore, the approximate height of the equilateral triangle is 148 meters.
To calculate the approximate height of an equilateral triangle with a given side length, you can use the formula: height = side length * √3/2.
Given that the side length of the equilateral triangle is 8 meters, and using 74 as an approximation for the square root of 3, the calculation becomes:
height = 8 * 74 / 2
Simplifying:
height ≈ 296 / 2
height ≈ 148 meters
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is 148 meters.
To calculate similar problems in the future, you can follow the same steps:
1. Determine the formula for finding the height of an equilateral triangle, which is height = side length * √3/2.
2. Substitute the given side length into the formula.
3. Simplify the expression by calculating any necessary operations, such as multiplication and division.
4. Round the final answer to the desired level of approximation, if needed.
To calculate the height of an equilateral triangle, you can use the formula: Height = √3/2 × Side Length. In this case, we are given the side length as 8 meters.
First, let's plug in the value of √3 into the formula. You mentioned using 74 for the square root of 3. However, the accurate value of √3 is approximately 1.732. So, we will use 1.732 for √3.
Now, let's substitute the values into the formula:
Height = √3/2 × Side Length
= 1.732/2 × 8
To simplify, divide 1.732 by 2:
Height ≈ 0.866 × 8
Next, multiply 0.866 by 8:
Height ≈ 6.928
Therefore, the height of the equilateral triangle is approximately 6.928 meters.
To calculate this in the future, you can follow the same steps:
1. Obtain the accurate value of the square root of 3.
2. Substitute the values into the formula: Height = √3/2 × Side Length.
3. Simplify and calculate the result to find the height.