Cutting equilateral hexagons

Geometry Level 3

We have three regular hexagons with the same area.

Can we cut two of the hexagons into six triangles each, and rearrange these 13 pieces to form a bigger regular hexagon?

No, it is not possible Yes, it is possible

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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1 solution

Áron Bán-Szabó
Jun 20, 2017

5 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you clarify what you mean by "We cut two of the hexagons into six-six triangles."?

Are we allowed to choose how the cuts happen, or must it apply to any way of cutting up the hexagons into 6 triangles?

Calvin Lin Staff - 3 years, 11 months ago

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We can choose how the cuts happen

Áron Bán-Szabó - 3 years, 11 months ago

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K, I've edited the problem for clarity.

Calvin Lin Staff - 3 years, 11 months ago

Ain't it regular as well?

Vishwash Kumar ΓΞΩ - 3 years, 11 months ago

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Yes. I've replaced "equilaterial" with "regular". The former only says that the sides have the same length, while the latter requires additionally that the angles are equal.

Calvin Lin Staff - 3 years, 11 months ago

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