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Infographic Geometry Problem 1064: Triangle, Orthocenter, Altitudes, Circumradius, Sum of the Squares of Sides. Level: High School, SAT Prep, College, Mathematics Education

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The figure shows a triangle ABC with the orthocenter H and the circumradius R. If a, b, and c are the sides, and AH =a1, BH = b1, and CH = c1, prove that a2 + b2 + c2 + a12 + b12 + c12 = 12R2.
 

Infographic Geometry problem: Triangle, Orthocenter, Altitudes, Circumradius, Sum of the Squares of Sides
 

 



 

 

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Last updated: Dec 2, 2014