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Infographic Geometry Problem 1066: Triangle,
Obtuse Angle, Orthocenter, Circumradius, Inradius,
Exradius, Distance, Diameter. Level: High School, SAT Prep, College, Mathematics Education
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The figure shows a triangle ABC with
obtuse angle A, the orthocenter H, the circumradius R, the inradius r,
and the exradius ra corresponding to side BC. If AH =a1, prove
that ra - a1 = 2R + r.
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