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?

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1 answer

The height of an equilateral triangle can be calculated by multiplying the side length by √3/2.

For the given value of √3 as 7/4, we can substitute it into the formula:

height = (√3/2) * side length

= (7/4) * 8 meters

= 14 meters

Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 14 meters.