Equiangular Triangle

A triangle which has all three interior angles equal (congruent).
Try this Drag the orange dots on each vertex to reshape the triangle. Notice it always remains an equiangular triangle. The angles A,B and C always remain equal in measure.

An equiangular triangle is a triangle where all three interior angles are equal in measure. Because the interior angles of any triangle always add up to 180°, each angle is always a third of that, or 60°

The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle. See Equilateral Triangles.


Constructing an Equiangular Triangle

It is possible to construct an equiangular triangle of a given side length using just a compass and straightedge. This uses the same method as for an equilateral triangle, see Constructing an Equilateral Triangle

Other triangle topics


Perimeter / Area

Triangle types

Triangle centers

Congruence and Similarity

Solving triangles

Triangle quizzes and exercises