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

  • question_answer
    The three perpendicular distances of three sides of an equilateral triangle from a point which lies inside that triangle are 6 cm, 9 cm and 12 cm, respectively. The perimeter of the triangle is

    A) \[42\sqrt{2}\,cm\]

    B) \[45\sqrt{3\,}\,cm\]

    C) \[52\sqrt{2}\,cm\]

    D) \[54\sqrt{3}\,cm\]

    Correct Answer: D

    Solution :

    [d] Side of an equilateral triangle \[=\frac{2}{\sqrt{3}}(l+m+n)\] \[=\frac{2}{\sqrt{3}}(6+9+12)=18\sqrt{3}\] \[\therefore \]Perimeter of a triangle \[=3\times 18\sqrt{3}=54\sqrt{3}\,cm\]


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