AMC 10 Step by Step
2004 AMC 10BProblem 20P16-20~6 minPrint

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} ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.