Difference between revisions of "2002 IMO Problems/Problem 2"
(→Problem) |
(→Problem) |
||
| Line 3: | Line 3: | ||
:<math>\text{EF is the chord which is the perpendicular bisector of AO. D is the midpoint of the minor arc AB. The line through}</math> | :<math>\text{EF is the chord which is the perpendicular bisector of AO. D is the midpoint of the minor arc AB. The line through}</math> | ||
:<math>\text{O parallel to AD meets AC at J. Show that J is the incenter of triangle CEF.}</math> | :<math>\text{O parallel to AD meets AC at J. Show that J is the incenter of triangle CEF.}</math> | ||
| + | : | ||
| + | ==Solution== | ||
| + | :<math>\text{By construction, AEOF is a rhombus with } 60^\circ - 120^\circ \text{angles}</math> | ||
| + | :<math>\text{ Consequently, we may set } s = AO = AE = AF = EO = EF</math> | ||
