Geometry Problem

Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 846.

## Wednesday, January 2, 2013

### Problem 846: Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity

Labels:
centroid,
circumcenter,
concyclic,
cyclic quadrilateral,
similarity,
triangle

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By Problem 845,

ReplyDeleteHO1×HO2=HO3×HO4

By the converse of circle power theorem,

O1, O2, O3, O4 concyclic.