Question: 5. In the diagram, AABC has D on BC, E on AC, and F on AB. Point P is the point of intersection of AD

5. In the diagram, AABC has D on BC, E on AC, and F on AB. Point P is the point of intersection of AD and BE, point Q is the point of intersection of AD and CF, and point R is the point of intersection of BE and CF. Suppose that BD : DC = 1 : 1, AE : EC = 1 : 2, and BF : FA = 1 : 3. A E P F R O B D C (a) Prove that the area of APQB is equal to the area of APQC. (b) Prove that the area of ACRB is twice to the area of AARB. (c) If the area of APQR equals 25, determine the area of AABC

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