9th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    If AB = DE, AC = DF, \[\angle A=\angle D={{90}^{o}}\]and BC = 5 cm, then EF is equal to ___.

    A)  5 cm               

    B)         4.5 cm

    C)         5.5 cm            

    D)         Can't be determined

    Correct Answer: A

    Solution :

    In\[\Delta \Alpha \Beta C\]and\[\Delta DEF\] AB = DE                       (given) \[\angle A=\angle B={{90}^{o}}\] AC =DF                        (given) \[\Delta \Alpha \Beta C\cong \Delta DEF\]                 (SAS congruency) \[\therefore \]\[EF=BC=5\,cm\]    (By C.P.C.T.)


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