Are all equilateral triangles similar?

In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. Since the angles of an equilateral triangle are same, it is also known as an equiangular triangle.


A property of equilateral triangles includes that all of their angles are equal to 60 degrees.

The AAA Triangle Similarity Postulate asserts that if all of the angles in a triangle are equal to the corresponding angles in another triangle, then those two triangles are equal.

Since every equilateral triangle’s angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.

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