What type of triangle has no right angles and no equal sides?

An oblique triangle is characterized by having no right angles and no equal sides. This classification encompasses any triangle that does not contain a right angle (which is 90 degrees). In the context of triangles, the term "oblique" specifically refers to both acute triangles (all angles less than 90 degrees) and obtuse triangles (one angle greater than 90 degrees), as long as there are no equal sides.

In contrast, an equilateral triangle has all three sides equal and each angle measures 60 degrees, which does not qualify under the definition. An isosceles triangle has at least two equal sides, so it cannot meet the requirement of having no equal sides. Lastly, while an obtuse triangle does have one angle that is greater than 90 degrees, it can still have equal sides and therefore does not fit the criteria of having no equal sides. Thus, the correct answer, "oblique triangle," accurately describes a triangle with no right angles and no equal sides.