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find the area of an equilateral triangle if a side is 8 times the square root of 3

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  • MrGumby

    The area would be about 83.14.

    You can find this by starting with the formula for the area of an equilateral triangle:

    A =  \frac{\sqrt{3}}{4}  S^{2}

    In this equation, A is the area and S is the side. So we'll just plug in the value.

    A =  \frac{\sqrt{3}}{4}  S^{2}

    A =  \frac{\sqrt{3}}{4} (8\sqrt{3})^{2}

    A =  \frac{\sqrt{3}}{4}  24

    A = 83.14