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.
Tuesday, July 8, 2008
Triangle, Medians, Six Circumcenters Concyclic
Labels:
circumcenter,
circumcircle,
concyclic,
median,
triangle
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