MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad Regional Round
2003 All-Russian Olympiad Regional Round
8.4
8.4
Part of
2003 All-Russian Olympiad Regional Round
Problems
(1)
cut triangle into 3 polygons - All-Russian MO 2003 Regional (R4) 8.4
Source:
9/17/2024
Prove that an arbitrary triangle can be cut into three polygons, one of which must be an obtuse triangle, so that they can then be folded into a rectangle. (Turning over parts is possible).
geometry
combinatorial geometry
combinatorics
obtuse