Is it possible to divide an equilateral triangle into 5 equal (i.e., obtainable from each other by a rigid motion) parts?
Splitting equilateral triangle into 5 equal parts
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$\begingroup$
geometry
dissection
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0I think it does not leave the arrangement of triangle angles unchanged so no. – 2010-10-29
2 Answers
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You might want to look at:
http://www.michaelbeeson.com/research/papers/TriangleTiling1.pdf
and the references given there.
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1http://www.michaelbeeson.com/research/papers/TriangleTiling1.pdf#page=56 (updated url) – 2012-10-24
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The answer is "yes", it is possible to divide equilateral triangle into $5$ equal parts, see the picture below which comes from here: https://ru-math.livejournal.com/831851.html