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SSC Sample Paper Mock Test-12 SSC CGL Tear-II Paper-1

  • question_answer
    The perimeter of a triangle is 30 cm and its area \[30\,\,\text{c}{{\text{m}}^{2}}.\]If the largest side measures 13 cm, what is the length of the smallest side of the triangle?

    A) 3 cm    

    B)  4 cm  

    C)  5 cm   

    D)  6 cm

    Correct Answer: C

    Solution :

    The perimeter of a triangle = 30 cm Area \[=30\,\,\text{c}{{\text{m}}^{2}}\] We know that,    \[{{5}^{2}}+{{12}^{2}}={{13}^{2}}\] \[\therefore \]The triangle is right angled Now,     Area \[=\frac{1}{2}\times 5\times 12=30\,\,\text{c}{{\text{m}}^{2}}\] And Perimeter \[=5+12+13=30\] Hence, the smallest side is 5 cm.


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