Proposition

Medians AD, BE, and CF split a triangle ABC into six smaller triangles. Prove that their circumcenters O1, O2, O3, O4, O5, and O6 are concyclic (lie on a circle).

See complete interactive figure

Triangle, Medians, Six Circumcenters Concyclic. Level: High School, SAT Prep, College geometry

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## Tuesday, July 8, 2008

### Triangle, Medians, Six Circumcenters Concyclic

Labels:
circumcenter,
circumcircle,
concyclic,
median,
triangle

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