What type of triangle has sides of equal length?

A triangle with all sides of equal length is classified as an equilateral triangle. In an equilateral triangle, not only are all three sides equal, but all three interior angles are also equal, each measuring 60 degrees. This symmetry creates a triangle that is balanced and aesthetically pleasing, often associated with various geometric principles and properties.

Scalene triangles, by contrast, have all sides of different lengths and, therefore, no angles that are equal. Isosceles triangles feature at least two sides that are of equal length, but not necessarily all three, making them distinct from equilateral triangles. Right triangles contain one angle that measures exactly 90 degrees, without any requirements regarding the lengths of the sides. Understanding these definitions is crucial in identifying the characteristics of different types of triangles.