MathDB

1

Part of 2008 Mediterranean Mathematics Olympiad

Problems(1)

Convex Hexagon

Source: 2008 MMO Problem #1

9/13/2011
Let ABCDEFABCDEF be a convex hexagon such that all of its vertices are on a circle. Prove that ADAD, BEBE and CFCF are concurrent if and only if ABBC⋅CDDE⋅EFFA=1\frac {AB}{BC}\cdot\frac {CD}{DE}\cdot\frac {EF}{FA}= 1.
geometry unsolvedgeometry