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Weekly Problem 34 - 2015

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

The diagram below shows four types of tile, each of which is made up of one or more equilateral triangles.



For how many of these types of tile can we place three identical copies of the tile together, without gaps or overlaps, to make an equilateral triangle?


This problem is taken from the UKMT Mathematical Challenges.

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