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Can you divide an equilateral triangle into exactly 12 congruent triangles? interesting question i haven't yet been able to work on. The sides can be of any length.

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    How about first dividing the triangle into 3 congruent triangles by joining the centre (centroid) to the 3 vertices, and then dividing the 3 smaller triangles into 4 congruent triangles the obvious way?2012-06-14

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Here is a hint for one way to do it:

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    "A hint"? Very nice answer. +12012-06-15