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10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    If \[\Delta \text{ABC}\] and \[\Delta \text{PQR}\] are similar and \[\frac{BC}{QR}=\frac{1}{3}\], find \[\frac{ar(\Delta PQR)}{ar(\Delta BCA)}\].

    A)  9                                            

    B)  3    

    C)  \[\frac{1}{3}\]                                                  

    D)  \[\frac{1}{9}\]

    Correct Answer: A

    Solution :

     \[\Rightarrow \] (Given) \[area\,of\,\Delta ABC={{\left( \frac{8}{4} \right)}^{2}}\times 25=100\,c{{m}^{2}}\] \[\Delta AOD\] \[\Delta DOC\] \[\frac{AO}{OC}=\frac{BO}{OD}=\frac{1}{4}\]


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