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KöMaL 2012 B4438

    The angle bisectors of a triangle ABC intersect the opposite sides at the points A1A_1, B1B_1 and C1C_1, respectively. For what triangles is it true that AA1→+BB1→+CC1→=0\overrightarrow{AA_1} + \overrightarrow{BB_1}+ \overrightarrow{CC_1} =\mathbf{0}?

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