Geometry, Theorems and Problems

Problem 249. Triangle sides, medians, squares

The figure shows a triangle ABC with medians AD, BE, and CF. If AB = c, BC = a, AC = b, AD = ma, BE = mb, and CF = mc, prove that Formula triangle sides and medians. View or post a solution.

Triangle, sides and medians 

See also:

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


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