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
.
View or post a solution.
See also:
Pythagoras Theorem
Euclid's Elements Book II Proposition 13
Median length, Apollonius' Theorem
Problem 249
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