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7th Class Mathematics The Triangle and its Properties Question Bank The Triangle and Its Properties

  • question_answer
    In a \[\Delta ABC,\]if \[AB+BC=10\text{ }cm,\] \[BC+CA=12\text{ }cm,\]\[CA+AB=16\text{ }cm,\] then the perimeter of the triangle is ____.

    A)  \[19\,cm\]

    B)  \[17\,cm\]       

    C)         \[28\,cm\]      

    D)         \[22\,cm\]                   

    Correct Answer: A

    Solution :

                        It is given that, \[AB+BC=10\,cm\]                ?..(i) \[BC+CA=12\,cm\]                ?..(ii) \[CA+AB=16\,cm\]                ?..(iii) Adding (i), (ii) and (iii); we get \[2(AB+BC+CA)=10+12+16\] \[\Rightarrow \]  \[AB+BC+CA=19\,cm\]


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