The height of an equilateral triangle equals √3/2 times the side length. Using 7/4 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)
To find the height of an equilateral triangle, you can multiply the side length by √3/2.
Given that √3/2 is approximately 7/4, the height of an equilateral triangle with a side length of 8 meters can be approximated as:
Height = (Side length) * (√3/2)
Height = 8 * (7/4)
Height = 14 meters.
So, the approximate height of the equilateral triangle is 14 meters.
To find the approximate height of an equilateral triangle with a side length of 8 meters, we can use the formula:
height = (√3/2) * side length
Given that √3 is approximated as 7/4, the formula becomes:
height = (7/4) * side length
Substituting the side length as 8 meters, we have:
height = (7/4) * 8
To simplify, we multiply 7/4 by 8:
height = (7/4) * 8 = 14
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 14 meters.
To find the approximate height of an equilateral triangle with a given side length, you can multiply the side length by the value of (√3)/2. In this case, the given side length is 8 meters, and you are asked to use the approximation of (√3)/2 as 7/4.
Step 1: Multiply the side length by (√3)/2.
Height = 8 meters * (√3)/2.
Step 2: Substitute the approximation (√3)/2 as 7/4.
Height = 8 meters * (7/4).
Step 3: Simplify the expression.
Height = 56/4 meters.
Step 4: Convert the fraction to a decimal approximation.
Height = 14 meters.
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is 14 meters.