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10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In similar triangles \[\Delta \text{ABC}\] and \[\Delta \text{FDE}\].DE = 4 cm, BC = 8 cm and area of\[\Delta \text{FDE}=\text{25 c}{{\text{m}}^{\text{2}}}\]. What is the area of\[\Delta \text{ABC}\]?

    A)  \[\text{144}\,\text{c}{{\text{m}}^{\text{2}}}\]                                 

    B)  \[\text{121 c}{{\text{m}}^{\text{2}}}\]

    C)  \[\text{1}00\,\text{c}{{\text{m}}^{\text{2}}}\]                                 

    D)  \[\text{81 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: C

    Solution :

     Since \[{{t}_{n}}=a+(n-1)d\], \[\Rightarrow \] \[999=9+(n-1)9\]\[\Rightarrow \]


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