Triangles and Common Sense
Level
pending
There is a triangle ABC with cevians AD,BE, and CF. AF/BF = 2, BD/DC =3, find EA/CE
The answer is 6.
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1 solution
By Ceva's theorem. AF/FBxBD/DCxCE/EA = 1. So CE/EA = 1/6. Then EA/CE = 6.