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Infographic Geometry Problem 1063: Triangle, Orthocenter, Altitudes, Equal Product of the Lengths of Segments. Level: High School, SAT Prep, College, Mathematics Education

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The figure shows a triangle ABC with the orthocenter H and the altitudes AA1, BB1, and CC1. Prove that AH.HA1 = BH.HB1 = CH.HC1.
 

Infographic Geometry problem: Triangle, Orthocenter, Altitudes, Equal Product of the Lengths of Segments
 

 



 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1061-1070 | Triangle | Orthocenter | Altitude | Email | Solution / comment | by Antonio Gutierrez
Last updated: Nov 26, 2014