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?

Answer 1

To find the height of an equilateral triangle, we can use the formula:

height = (√3/2) * side length.

Given that the square root of 3 is approximately 7/4, we can substitute this value into the formula:

height = (7/4 * 1/2) * 8 = 7/4 * 4 = 7 meters.

Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.