MathDB

9.2

Part of 1994 All-Russian Olympiad Regional Round

Problems(1)

4 cities - All-Russian MO 1994 Regional (R4) 9.2

Source:

8/26/2024
Cities A,B,C,DA,B,C,D are positioned in such a way that AA is closer to CC than to DD, and BB is closer to CC than to DD. Prove that every point on the straight road from AA to BB is closer to CC than to DD.
combinatorics