

Infographic Geometry Problem 1065: Triangle,
Acute 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
acute angle A, the orthocenter H, the circumradius R, the inradius r,
and the exradius r_{a} corresponding to side BC. If AH =a_{1}, prove
that r_{a} + a_{1} = 2R + r.







