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10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    Sides of two similar \[{{\Delta }^{s}}\] in the ratio\[2:3\]. Areas of these triangles are in the ratio

    A)  2:3                              

    B)  \[4:9\]  

    C)  \[16:25\]                      

    D)  \[20:44\]

    Correct Answer: B

    Solution :

    (b): If \[\Delta \,ABC\tilde{\ }\Delta \,PQR\] and \[\frac{AB}{PQ}=\frac{BC}{QR}=\frac{CA}{RP}=\frac{m}{n}\] Then \[\frac{\text{Area}\,\,(\Delta \,ABC)}{\text{Area}\,(\Delta \,PQR)}=\frac{{{m}^{2}}}{{{n}^{2}}}\]            


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