he height of an equilateral triangle equals 3√2 times the side length. Using 74 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)
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The height of an equilateral triangle is given by the formula:
height = √3 * side length/2
Given that the side length is 8 meters and √3 = 74, we can substitute these values into the formula to find the height:
height = 74 * 8/2
height = 37 * 8
height = 296 meters
Therefore, the approximate height of the equilateral triangle is 296 meters.
To find the height of an equilateral triangle, we can use the formula $height = side \times \sqrt{3}$.
Given that the side length is 8 meters and $\sqrt{3}$ is approximately 1.732, we can substitute these values into the formula to find the height.
$height = 8 \text{ meters} \times 1.732 \approx 13.856 \text{ meters}$
Therefore, the approximate height of the equilateral triangle is 13.856 meters.