C. 850. An arbitrary interior point of a regular hexagon of unit side is reflected about the midpoint of each side, respectively. Calculate the area of the resulting hexagon.

(5 points)

Deadline expired.

Sorry, the solution is published in Hungarian only.

Megoldás: A felezőpontok szabályos hatszöget alkotnak, ennek kétszeres nagyítása a kérdéses hatszög. Vagyis az is szabályos. Az oldalának hossza: . Vagyis

Statistics on problem C. 850. 215 students sent a solution. 5 points: 132 students. 4 points: 33 students. 3 points: 15 students. 2 points: 23 students. 1 point: 7 students. 0 point: 5 students.