The figure shows a triangle ABC. G is
the centroid G (point of concurrency of the triangle's medians)
and E is any point. If
BC =a, AC = b, AB = c, AE = e_{a},
BE = e_{b}, CE = e_{c}, 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
Problem
254
