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10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In trapezium ABCD, \[\text{AB}||\text{CD}\]. If \[OA=x-4\], \[OB=3x-19,OC=4\] and \[OD=x-3\], find 'x'.

    A)  10 units                              

    B)  9 units

    C)  12 units                              

    D)  8 units

    Correct Answer: D

    Solution :

     Since the diagonals of a trapezium divide each other proportionally, \[AP\] \[\therefore \] \[=\text{16 c}{{\text{m}}^{\text{2}}}\] \['x'\] \[\text{81 }:\text{ 49 }={{(4.9)}^{\text{2}}}:{{x}^{2}}\] \[\Rightarrow \]The required value of \[x=\frac{9}{7}\times 4.9=6.3\]is 8 units.


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