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Circumcenters and Vectors (Posted on 2017-12-31) Difficulty: 3 of 5

1) Let I be the incenter of acute ΔABC and A' the circumcenter of ΔIBC.

     Prove that A, I, and A' are collinear.

2) Let B' and C' be the circumcenters of triangles ICA and IAB respectively.

     Prove that the sum of the vectors IA', IB', and IC' is the zero vector 0
     if and only if ΔABC is equilateral.

No Solution Yet Submitted by Bractals    
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  Subject Author Date
re: Analytic solutionBractals2018-01-02 13:51:38
SolutionAnalytic solutionJer2018-01-01 14:21:44
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