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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 ra corresponding to side BC. If AH =a1, prove that ra + a1 = 2R + r.
 

Infographic Geometry problem: Triangle, Acute Angle, Orthocenter, Circumradius, Inradius, Exradius, Distance, Diameter
 

 

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Last updated: Dec 2, 2014