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D, E and F are the points on sides BC, CA and AB respectively of ΔABC such that AD bisects ∠A,

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D, E and F are the points on sides BC, CA and AB respectively of ΔABC such that AD bisects ∠A, BE bisects ∠B and CF bisects ∠C. If AB = 5 cm, BC = 8 cm and CA = 4 cm, determine AP, CE and BD.

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In ΔABC, CF bisects ∠C.
We know that, the internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.

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