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    Question

    Find the inradius of an equilateral triangle whose

    altitude is 9тИЪ3 cm.
    A 12тИЪ3 cm Correct Answer Incorrect Answer
    B 2тИЪ3 cm Correct Answer Incorrect Answer
    C 6тИЪ3 cm Correct Answer Incorrect Answer
    D 3тИЪ3 cm Correct Answer Incorrect Answer

    Solution

    Altitude of equilateral triangle = (тИЪ3a/2) , where 'a' is the side of equilateral triangle

    So, (тИЪ3a/2) = 6тИЪ3

    Or, 'a' = 12 cm

    Inradius of equilateral triangle = (a/2тИЪ3) = (12/2тИЪ3) = (6/тИЪ3) = 2тИЪ3 cm

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