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 = m_{a},
BE = m_{b}, and CF = m_{c}, prove that
.
View or post a solution.
See also:
Median length, Apollonius' Theorem
Pythagoras Theorem
Euclid's Elements Book II Proposition 13
Stewart Theorem
