The figure shows a triangle ABC. G is
the centroid G (point of concurrency of the triangle's medians)
and E is any point (interior/exterior). If AG = da,
BG = db, CG = dc, AE = ea,
BE = eb, CE = ec, and EG = m, prove that
.
View or post a solution.
See also:
Pythagoras Theorem
Euclid's Elements Book II Proposition 13
Median length, Apollonius' Theorem
Problem 249
Problem
253
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