Are all equilateral triangles similar?

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An equilateral triangle is defined as having three equal sides. A triangle's angles added up is equal to 180 degrees. Given that every side of the triangle is equal, this means that all angles are also equal, making each angle 180/3=60 degrees.

By definition, similar triangles are triangles whose dimensions are proportional, and whose angles are equal.

This means that all equilateral triangles are similar.