How many ways can an equilateral triangle be cut into 2 equal triangles?

Answer: An equilateral triangle can be cut into 2 equal triangles in only one way.

This is a highly controversial task.

In an equilateral triangle, all sides are equal, which means that all available angles are equal. If from any vertex we draw a line of height to the opposite side, then when cutting along this line we get 2 equal right-angled triangles.

It would seem that we have 3 vertices, which means that from any of them you can draw a height and make a cut, but in the end we will get the same result, since nothing fundamentally changes in terms of the method of division, and all the vertices and sides are marked only conditionally. Even if we draw the sides with different colors, we just get several color combinations of the resulting triangles.

There is no other way, except as described above, and all the controversy over whether the option can be considered a way.