A triangle whose all three sides and interior angles are equal is called an equiangular triangle. For a triangle to be equiangular, the measure of all its three interior angles must be equal to 60 degrees.

What is an equiangular triangle?

In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Is an equiangular triangle always equilateral?

An equilateral triangle is a triangle whose sides are all equal. ... Therefore, since all three sides of an equilateral triangle are equal, all three angles are equal, too. Hence, every equilateral triangle is also equiangular.