10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    BC and EF are the corresponding sides of two similar triangles ABC and DEF. If BC = 9.1 cm, EF = 6.5 cm and the perimeter of\[\Delta AEF\]is 35 cm, find the perimeter of\[\Delta \text{ABC}\].

    A)  15 cm

    B)   49 cm

    C)  45 cm                                  

    D)  35 cm

    Correct Answer: B

    Solution :

     Given BC = 9.1 cm, EF = 6.5 cm and perimeter of ADEF is 35 cm. Let the perimeter of\[=\frac{{{n}^{2}}{{(n+1)}^{2}}}{4}[4{{n}^{2}}+4n+1]\]be \[={{S}_{3}}[4n(n+1)+1]\] cm \[={{S}_{3}}(8{{S}_{1}}+1)\]         \[7{{t}_{7}}=11{{t}_{11}}\] Perimeter of \[\Rightarrow \]is 49 cm.


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