10th Class Mathematics Solved Paper - Mathematics-2018

  • question_answer Given \[\Delta \,ABC\sim \Delta \,PQR\], if \[\frac{AB}{PQ}=\frac{1}{3}\], then find \[\frac{ar\,\,\Delta \,ABC}{ar\,\,\Delta \,\,PQR}\].        

    Answer:

    Given, \[\Delta \text{ }ABC\tilde{\ }\Delta \text{ }PQR\]
    And                  \[\frac{AB}{PQ}=\frac{1}{3}\]
    Now         \[\frac{ar(\Delta \,ABC)}{ar(\Delta \,PQR)}=\frac{A{{B}^{2}}}{P{{Q}^{2}}}\]
                                   \[={{\left( \frac{1}{3} \right)}^{2}}=\frac{1}{9}\] 


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