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    Question

    If the perpendicular from a vertex of an equilateral

    triangle to the opposite side is 15√3 cm, find its inradius.
    A 4√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) = 15√3

    ⇒ a = 30 cm

    Inradius = a / (2√3) = 30 / (2√3) = 15 / √3 = 5√3 cm

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