Which of the following triangles does not have any equal sides?

A triangle that does not have any equal sides is known as a scalene triangle. In this type of triangle, each side is of a different length, and consequently, each angle inside the triangle is also different. This distinctiveness of side lengths is what sets the scalene triangle apart from other types of triangles.

In contrast, an equilateral triangle has all three sides equal and all angles equal as well. An isosceles triangle has at least two equal sides, which means that it cannot be categorized as having no equal sides. A right triangle is defined by having one angle that is exactly 90 degrees, and it can be any combination of side lengths, including those that could equal each other; thus, it may or may not be scalene.

Choosing the scalene triangle highlights the characteristic of no sides being equal, making it the correct answer for the question posed.