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    Question

    What is the inradius of an equilateral triangle whose

    vertical height measures 12√3 cm?
    A 4√3 cm Correct Answer Incorrect Answer
    B 3√3 cm Correct Answer Incorrect Answer
    C 12√3 cm Correct Answer Incorrect Answer
    D √3 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Altitude = (√3a/2)

    ⇒ (√3a/2) = 12√3

    ⇒ a = 24 cm

    Inradius = a / (2√3) = 24 / (2√3) = 12 / √3 = 4√3 cm

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