Geometry, Theorems and Problems


 Problem 263. Triangle, Median, Altitude, Orthogonal Projection, Sides

The figure shows a triangle ABC, BE is the median and BH the altitude. If AB = c, BC = a, AC = b and EH = d, prove that Formula to prove. View or post a solution.

Triangle sides and Median projection

See also: 

  Median length, Apollonius' Theorem
  Pythagoras Theorem
  Euclid's Elements Book II Proposition 13


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