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O is any point inside a triangle ABC. The bisector of ∠AOB, ∠BOC and ∠COA meet the sides AB. BC and CA in point D. E and F respectively. Show that AD × BE × CF = DB × EC × FA. [4 MARKS]

Answer»

O is any point inside a triangle ABC. The bisector of AOB, BOC and COA meet the sides AB. BC and CA in point D. E and F respectively. Show that AD × BE × CF = DB × EC × FA. [4 MARKS]



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