Olympiad Maths Prep

Library / /3 of 15

, 2010

Geometry Difficulty 5.1 AIME, harder Prove it Ukraine

Cut a square into triangles in such a way, that each triangle has exactly 3 neighbor triangles (two triangles are neighbors if they share a line segment; if they share only one point they aren't).

Solution

Figure 1
Fig.04

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