The 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)

The height of an equilateral triangle is given by the equation h = s√3/2, where h is the height and s is the side length.

Given that the side length is 8 meters, we can substitute this value into the equation to find the height: h = 8√3/2

To approximate the height, we can substitute 74 for the square root of 3: h = 8 * 74/2 = 296/2 = 148 meters.

Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 148 meters.

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To find the height of an equilateral triangle, you can use the formula: height = side length × √3/2.

Given that the side length is 8 meters, we need to calculate the height using the value 74 for the square root of 3.

First, substitute the values into the formula: height = 8 × 74/2.

Simplifying further, we get: height = 4 × 74.

Finally, multiply 4 by 74 to find the height: height = 296 meters.

Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 296 meters.