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    Question

    Determine the inradius of an equilateral triangle whose

    altitude measures 9√3 cm.
    A 12√3 cm Correct Answer Incorrect Answer
    B 3√3 cm Correct Answer Incorrect Answer
    C 6√3 cm Correct Answer Incorrect Answer
    D 9√3 cm Correct Answer Incorrect Answer

    Solution

    Altitude of equilateral triangle = (√3a/2) , where 'a' is the side of equilateral triangle So, (√3a/2) = 9√3 Or, 'a' = 18 cm Inradius of equilateral triangle = (a/2√3) = (18/2√3) = (9/√3) = 3√3 cm

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