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?
The approximate height of an equilateral triangle with a side length of 8 meters can be found by multiplying the side length by 3√2/2.
Height = 8 * (3√2/2)
= (8 * 3 * √2) / 2
= 12√2
Since √2 is approximately equal to 1.4142, we can approximate the height as:
Height ≈ 12 * 1.4142
≈ 16.9704 meters
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is approximately 16.9704 meters.
To find the approximate height of an equilateral triangle with side length 8 meters, we can use the formula:
Height = √3/2 * side length.
Given that √3 is approximately 1.732, we can substitute the values into the formula:
Height = 1.732/2 * 8 meters
= 0.866 * 8 meters
≈ 6.928 meters.
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is approximately 6.928 meters.