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SSC Sample Paper Mock Test-10 SSC CGL Tear-II Paper-1

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

    A)  24 cm

    B)  10 cm

    C)  12 cm

    D)  9 cm

    Correct Answer: C

    Solution :

    According to question. Ratio of sides of triangle \[=\frac{1}{2}:\frac{1}{3}:\frac{1}{4}=6:4:3\] Now, \[6x+4x+3x=52\,\,\text{cm}\] \[\Rightarrow \]               \[13x=52\] \[\therefore \]                  \[x=4\,\,\text{cm}\] \[\therefore \]Length of smallest side \[=3x=4\times 3\] \[=12\,\,\text{cm}\]


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