Geometry, Theorems and Problems

 Problem 253. Triangle, Centroid, Vertices, Distances, Squares

The figure shows a triangle ABC and the centroid G (point of concurrency of the triangle's medians). If AB = c, BC = a, AC = b, AG = da, BG = db, and CG = dc, prove that Formula to proof about the centroid. View or post a solution.

Elearning: Triangle, Centroid, Squares

See also: 
  Pythagoras Theorem
  Euclid's Elements Book II Proposition 13
  Median length, Apollonius' Theorem
  Problem 249

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