

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 AA_{1}, BB_{1}, and CC_{1}. Prove
that AH.HA_{1} = BH.HB_{1} =
CH.HC_{1}.







