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 = d_{a},
BG = d_{b}, and CG = d_{c}, prove that
.
View or post a solution.
See also:
Pythagoras Theorem
Euclid's Elements Book II Proposition 13
Median length, Apollonius' Theorem
Problem 249
