7th Class Mathematics Congruence of Triangles Question Bank Congruence of Triangles

  • question_answer
    In the given figure, \[\angle PQU=\angle RSV\] What is the perimeter of \[\Delta PQT\]?

    A)  28 units          

    B)  39 units        

    C)  33 units           

    D)  31 units

    Correct Answer: C

    Solution :

    (c): Considering Ales PQT & RST, \[QT=ST=9;\text{ }\angle PTQ=\angle RTS;\] \[\angle PQT=180{}^\circ -\angle PQV\Rightarrow \angle PQT=\angle RST\] \[\therefore \text{ }\Delta PQT\cong \Delta RST\Rightarrow PQ=RS=13\] \[\Rightarrow \]  Perimeter \[\Delta PQT=13+11+9=33\]    


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