The height of an equilateral triangle equals √3 over 2 times the side length. Using 7 over 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?
The height of an equilateral triangle can be calculated using the equation:
Height = (√3 / 2) * Side Length
Using 7/4 for the square root of 3:
Height = (7/4 * 2) * 8
= (7/2) * 8
= 7 * 4
= 28
The approximate height of the equilateral triangle is 28 meters.
To find the approximate height of an equilateral triangle with a side length of 8 meters using 7/4 as the square root of 3, we can substitute the values into the formula:
Height = (√3/2) x Side Length
Here, the Side Length = 8 meters, and the square root of 3 = 7/4.
Substituting these values, we get:
Height = (7/4) x 8 x (1/2)
Simplifying the expression, we have:
Height = (7/4) x 4
Height = 7 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters using 7/4 as the square root of 3 is approximately 7 meters.
To find the height of an equilateral triangle, we need to multiply the square root of 3 divided by 2 by the side length. Given that the square root of 3 is approximately 7 over 4, we can substitute this value into the formula.
Height = (√3 / 2) * side length
= (7/4) * 8
To calculate the height, we multiply 7/4 by 8.
Height ≈ (7/4) * 8
= 14/2
= 7
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.