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Let ABC be a triangle and D, E, F are points on the respective sides AB, BC, AC (or their extensions).

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Let ABC be a triangle and D, E, F are points on the respective sides AB, BC, AC (or their extensions). Let AD: DB = 5 : 3, BE : EC = 3 : 2 and AC = 21. Find the length of the line segment CF.

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7CF = 42

CF = 42/7 = 6 units.

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