Problem 249.
Triangle sides, medians, squares
The figure shows a triangle ABC with
medians AD, BE, and CF. If AB = c, BC = a, AC = b, AD = ma,
BE = mb, and CF = mc, prove that
.
View or post a solution.
See also:
Median length, Apollonius' Theorem
Pythagoras Theorem
Euclid's Elements Book II Proposition 13
Stewart Theorem
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