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

  • question_answer
    The sides of a triangle are in the ratio \[\frac{1}{2}:\frac{1}{3} & :\frac{1}{4}.\]If the  perimeter is 52 cm, then the length of the smallest side is

    A) 9 cm

    B) 10 cm

    C) 11 cm

    D) 12 cm

    Correct Answer: D

    Solution :

    [d] Ratio of sides \[=\frac{1}{2}:\frac{1}{3}:\frac{1}{4}=6:4:3\] Sides are \[\left( 52\times \frac{6}{13} \right)\,cm,\]\[\left( 52\times \frac{4}{13} \right)\,cm\] And \[\left( 52\times \frac{4}{13} \right)\,cm\]i.e., 24 cm, 16 cm, 12 cm. Length of smallest side \[=12\,\,cm\]


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