What defines a scalene triangle?

A scalene triangle is defined as one that has no equal sides, meaning all three sides are of different lengths. This distinction is fundamental to understanding the properties of triangles in geometry. Since a scalene triangle does not possess any sides that are the same, it creates a unique shape and angle measurements, which can vary significantly from other types of triangles, such as isosceles (two equal sides) or equilateral (three equal sides). The characteristic of having no equal sides is key to identifying a scalene triangle as it highlights its non-conformity to the other classifications. This definition underscores the diversity found within triangle types and the significance of side lengths in categorizing triangles.