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Geometry Problem 1169: Complete Quadrilateral, Orthocenters of the Component Triangles, Collinear Points, Ortholine, Steiner-line, Orthocentric line. Level: High School, College, Math Education, Tutoring

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Prove that orthocenters of the four components triangles (BCE, CDF, ABF, ADE) of a complete quadrilateral ABCDEF lie on a line called Ortholine, Steiner line, Orthocentric line. See also: Artwork of Problem 1169, Adobe Spark.
 
Reference: David Wells. Curious and Interesting Geometry, Penguin Books, 1991.

Problem 1169 Complete Quadrilateral, Orthocenters of the Component Triangles, Collinear Points, Ortholine, Steiner-line, Orthocentric line
 

 



 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1161-1170 | Complete Quadrilateral | Triangles | Altitude | Perpendicular lines | Collinear Points | Orthocenter | Email | Post a Solution / comment | by Antonio Gutierrez
Last updated: Dec 3, 2015