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9th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In\[\Delta ABC\], if \[AD\] is the perpendicular bisector of\[BC\], which of the following is true?

    A) \[AB>AC\]                   

    B)        \[AD=AB\]       

    C)        \[AB=AC\]                   

    D)        \[AD=AC\]                   

    Correct Answer: C

    Solution :

    Given, \[AD\bot BC\Rightarrow BD=DC\] In \[\Delta \Alpha \Beta D\]and \[\Delta \Alpha CD\] \[BD=DC\](given) \[AD=AD\](Common side) \[\angle ADB=\angle ADC={{90}^{o}}\] \[\Delta ABD\cong \Delta ADC\][S.A.S congruence] \[\Rightarrow \]\[AB=AC\]


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