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    Question

    An equilateral triangle has an altitude of 21√3 cm.

    Calculate the radius of its incircle.
    A 7√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) = 21√3

    a = 42 cm

    Inradius = a / (2√3) = 42 / (2√3) = 21 / √3 = 7√3 cm

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