Tuesday, July 8, 2008

Triangle, Medians, Six Circumcenters Concyclic

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

Post your solutions or ideas in the comments.