Regular (equilateral) triangle

An equilateral triangle is a triangle in which all three sides are congruent, and all three interior angles are equal, each measuring 60 degrees.

Important properties

• All sides are equal: $AB = BC = CA$

• All angles are equal: $\angle ABC = \angle BCA = \angle CAB = 60^\circ$

• It is both equilateral (equal sides) and equiangular (equal angles)

• The triangle is symmetric about any of its medians, altitudes, or angle bisectors

• The centroid, circumcenter, incenter, and orthocenter all coincide at the same point