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concurrent

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August 30, 2011
geometrycircumcircleincenterangle bisectorgeometry unsolved

Problem Statement

In a triangle ABCABC A0A_0,B0B_0 and C0C_0 are the midpoints of the sides BCBC,CACA and ABAB.A1A_1,B1B_1,C1C_1 are the midpoints of the broken lines BAC,CAB,ABCBAC,CAB,ABC.Show that A0A1,B0B1,C0C1A_0A_1,B_0B_1,C_0C_1 are concurrent.
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