Tiling Equilateral Triangle

Geometry Level 2

Can an equilateral triangle be tiled with 6 nonidentical isosceles triangles?

Yes. No.

Michael Huang by Michael Huang , 29, USA

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2 solutions

Michael Huang
Oct 23, 2018

9 Helpful 1 Interesting 0 Brilliant 0 Confused

I wonder if you could do it with non-similar triangles. Or, what is the minimum amount of triangles?

Blan Morrison - 2 years, 7 months ago

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The minimum amount of triangle is proved to be 5. However, the proof is rather difficult, besides the lemma, where some triangles with the certain angles have the special tiling case. Here is the problem I was inspired by.

Michael Huang - 2 years, 7 months ago
Jeremy Galvagni
Oct 28, 2018

A slightly different solution.

3 Helpful 1 Interesting 0 Brilliant 0 Confused

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