MathDB

4

Part of 1985 Dutch Mathematical Olympiad

Problems(1)

concurrent diagonals

Source: Netherlands 1985

6/27/2009
A convex hexagon ABCDEF ABCDEF is such that each of the diagonals AD,BE,CF AD,BE,CF divides the hexagon into two parts of equal area. Prove that these three diagonals are concurrent.
geometry unsolvedgeometry