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SSC Quantitative Aptitude Mensuration Question Bank Mensuration-I (II)

  • question_answer
    The area of an equilateral triangle is \[9\sqrt{3}\,{{m}^{2}}\] The length (in m) of the median is

    A) \[2\sqrt{3}\]

    B) \[3\sqrt{3}\]

    C) \[3\sqrt{2}\]

    D) \[2\sqrt{3}\]

    Correct Answer: B

    Solution :

    [b] Let the side of equilateral triangle be a. Then,    \[\frac{\sqrt{3}}{4}{{a}^{2}}=9\sqrt{3}\] \[\Rightarrow \]   \[a=6\,m\] Length of median \[=\frac{\sqrt{3}}{2}a=\frac{\sqrt{3}}{2}\times 6=3\sqrt{3}\,m\]


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