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In the following figure, O is a point in the interior of a triangle ABC, OD 1 BC, OE 1 AC and OF 1

In the following figure, O is a point in the interior of a triangle ABC, OD 1 BC, OE 1 AC and OF 1 AB. Show that B D (i) OA + OB+ OC-OD-OE-OF = AF + BD + CE (ii) AF + BD+ CE = AE + CD + BF

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