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22 September, 13:55

Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.

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  1. 22 September, 14:23
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    Answer:this item, we are given with the radius equal to 22 cm.

    In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60° and equal to the hypotenuse times (1/2) (√3)

    Step-by-step explanation:

    If we let s be the side of the triangle then,

    s/2 = r (1/2) (√3)

    Multiplying the equation by 2,

    s = r√3

    Substituting,

    s = (22 cm) (√3) = 22√3

    The area of the equilateral triangle is computed through the equation,

    A = (√3 / 4) (s²)

    Substituting,

    A = (√3 / 4) (22√3) ² = 628.7 cm²

    Therefore, the answer to this item is the first choice.
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