Altitudes, Orthocenters, and Circumcircles
The picture below demonstrates the unique relationship
between the orthocenter (H) of triangle ABC, the circumcircle
of triangle ABC, and the circumcircles of triangles AHC, CHB,
To investigate a particular aspect, select
one of the below listed conjectures.
of the three smaller triangles are located on the opposing vertices
of triangles AHC, CHB, and BHA intersect at the orthocenter of
All four circumcircles
have the same radius.
of all four triangles form parallelograms when connected to certain
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