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50th Mathematical Olympiad in Ukraine, Third Round (January 23, 2010)

Ukraine 2010 geometry

Problem

Each girl: Oksana, Olesya, Olya and Olexandra has a rectangle with sides and . They were given a task: to cut this rectangle into two pieces from which one can make a triangle without overlaps. All of them succeeded in this task. Can they make pairwise distinct triangles?

problem
Solution
Answer: Yes. The required example on the fig.01.

Fig.01
Final answer
Yes

Techniques

Constructions and loci