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    Question

    Find the radius of the incircle of an equilateral triangle

    whose height is given to be 3√3 cm.
    A √3 cm Correct Answer Incorrect Answer
    B 3√3 cm Correct Answer Incorrect Answer
    C 5√3 cm Correct Answer Incorrect Answer
    D 12√3 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Altitude = (√3a/2)

    ⇒ (√3a/2) = 3√3

    ⇒ a = 6 cm

    Inradius = a / (2√3) = 6 / (2√3) = 3 / √3 = √3 cm

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