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7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    The sides of a right angled triangle are\[2a\,\,cm,\,(2a+2)\,cm\] and \[(4a-2)\,cm\] long.                What is the length of the shortest side of the triangle if its perimeter is\[24\text{ }cm\]?

    A)  \[\text{8 }cm\]                

    B)         \[\text{6 }cm\]  

    C)  \[\text{10 }cm\]             

    D)         \[\text{3 }cm\]

    Correct Answer: B

    Solution :

     Perimeter of the triangle \[=[2a+(2a+2)+(4a-2)]\,cm\] \[\Rightarrow \]   \[8a\,\,cm=\,24\,\,cm\] or  \[a=3\,\,cm\] \[\therefore \]  The length of the shortest side is\[2a=6\text{ }cm\]


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