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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.

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