\(\qquad\)A convex hexagon has the property that for any pair of opposite sides the distance between their midpoints is \(\sqrt3/2\) times the sum of their lengths. \(\\\qquad\)Show that all the hexagon’s angles are equal.
| Attributes | Олімпіадна |
|---|---|
| Source | International Mathematical Olympiad |
| Year | 2004 |
| Number | 3 |
| Difficulty | 10.0 |
| Themes |