10.2

Part of 1996 All-Russian Olympiad Regional Round

Problems(1)

3 equal figures from a triangle - All-Russian MO 1996 Regional (R4) 10.2

Source:

Is it true that from an arbitrary triangle you can cut three equal figures, the area of each of which is more than a quarter of the area triangle?

geometrycombinatoricscombinatorial geometrygeometric inequality