Geometry Problem 1263

Elements: Triangle, Medians, Midpoint, 90 Degrees, Perpendicular

In a triangle ABC, the median BF is 1.5 times the side AC. Prove that the medians AD and CE are perpendicular.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.


Geometry Problem 1263: Triangle, Medians, 90 Degrees, Perpendicular