Is the answer 5?

Geometry Level 4

In ΔABC\Delta ABC ,AD,BE,CFAD , BE , CF are concurrent such that D,E,FD,E,F are points on BC,AC,ABBC,AC,AB respectively.

If CE=1CE=1 ,CD=2CD=2 ,BD=3BD=3 ,AF=4AF=4 ,AE=6AE=6 ,then what is the length of BFBF?

Note: Figure not to scale.

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