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Infographic Geometry Problem 1067: Acute Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter. Level: High School, SAT Prep, College, Mathematics Education

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The figure shows an acute triangle ABC with the orthocenter H, the circumradius R, the inradius r, and the exradii, ra, rb, and rc.
If AH = a1, BH = b1, and CH = c1, prove that ra + rb + rc + r = + a1 + b1 + c1 + 2R.
 

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

 



 

 

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Last updated: Dec 7, 2014