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  5. The Triangle and its Properties

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

  • question_answer
    The value of \[x\] in the figure is

    A) 35                               

    B) 70

    C) 55                               

    D) 65

    Correct Answer: B

    Solution :

         \[\Delta AQC\] is a right angled triangle \[{{(AQ)}^{2}}+{{(QC)}^{2}}={{(AC)}^{2}}\] \[{{(QC)}^{2}}={{(AC)}^{2}}-{{(AQ)}^{2}}\] \[{{(QC)}^{2}}={{(37)}^{2}}-{{(12)}^{2}}\] \[1369-144=1225\] \[{{(QC)}^{2}}={{(35)}^{2}}\Rightarrow QC=35\] \[BC=BQ+QC=35+35=70\] \[[given\,BQ=QC]\]


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