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Three small equilateral triangles of the same size are cut from the corners of a larger equilateral triangle with sides of length $6\text{cm}$, as shown.
The sum of the perimeters of the small equilateral triangles is the same as the perimeter of the hexagon.
What is the side length of one of the small triangles?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Corner Cut
Age 11 to 14
ShortChallenge Level 
Three small equilateral triangles of the same size are cut from the corners of a larger equilateral triangle with sides of length $6\text{cm}$, as shown.
The sum of the perimeters of the small equilateral triangles is the same as the perimeter of the hexagon.
What is the side length of one of the small triangles?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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