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2004 AMC 10B Problem 20

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2004 AMC 10B Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangle Centers & Cevians · difficulty 4 of 5 · about 6 min · position P16-20

In △ABC\triangle ABC points DD and EE lie on BCBC and ACAC , respectively. If ADAD and BEBE intersect at TT so that ATDT=3\frac{AT}{DT}=3 and BTET=4\frac{BT}{ET}=4 , what is CDBD\frac{CD}{BD} ?

figure

  1. A)

    18\frac{1}{8}

  2. B)

    29\frac{2}{9}

  3. C)

    310\frac{3}{10}

  4. D)

    411\frac{4}{11}

  5. E)

    512\frac{5}{12}

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