IIt is not possible to list all the properties since more can be derived from the ones give.
The basic one is that all three sides are of equal length.
From this, it can be shown that all angles must also be equal, and so = 60 deg.
Then you can show that the medians, altitudes, perpendicular bisectors of sides and angle bisectors are coincident.
That means the centroid, circumcentre, incentre are the same.
It has rotational symmetry of order 3
It has 3 axes of symmetry.
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An equilaterial triangle is always similar, because the corresponding angles are conqruent, it has the same basic shape, and it has a scale factor.
There are three lines, three angles, and three sides or a triangle. Each angle of the equilateral triangle is exactly 60 degrees, because each angle is equal.
It is a regular polygon
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triangle form in a semi circle is right triangle