Final answer:
A triangle with no congruent sides is called a scalene triangle. It has sides of different lengths and angles of different measures, differentiating it from isosceles and equilateral triangles which have two and three equal sides respectively.
Step-by-step explanation:
A triangle that has no sides of equal length is called a scalene triangle. This type of triangle has three sides of different lengths and also three angles of different measures. When categorizing triangles by their sides, there are three primary terms used:
- Scalene Triangle: No congruent (equal) sides.
- Isosceles Triangle: Two congruent sides.
- Equilateral Triangle: All three sides are congruent.
In contrast, when categorizing triangles by their angles, terms like acute (all angles less than 90 degrees), obtuse (one angle greater than 90 degrees), and right (one 90-degree angle) are used. However, these terms describe angle properties, not the length of the sides.