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    Question

    Determine the inradius of an equilateral triangle if its

    height is 6√3 cm.
    A 3√3 cm Correct Answer Incorrect Answer
    B 2√3 cm Correct Answer Incorrect Answer
    C 12 cm Correct Answer Incorrect Answer
    D √3 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Altitude = (√3a/2)

    ⇒ (√3a/2) = 6√3

    ⇒ a = 12 cm

    Inradius = a / (2√3) = 12 / (2√3) = 6 / √3 = 2√3 cm

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