In which type of triangle are all sides unequal?

The type of triangle where all sides are unequal is known as a scalene triangle. In a scalene triangle, not only are all three sides different in length, but the angles opposite those sides are also all different. This characteristic sets scalene triangles apart from equilateral triangles, where all sides and angles are equal, and isosceles triangles, where at least two sides are equal.

Understanding scalene triangles involves recognizing that their unique property of having no equal sides or angles means that they can take on a variety of shapes and proportions, making them distinct from others in their category. This can also affect the interior angles, which can each vary significantly while still adhering to the fundamental triangle angle sum property, where the sum of the interior angles equals 180 degrees.