The union of three segments determined by three noncollinear points. scalene triangle 2. a triangle in which no two sides have the same length. acute triangle 3. a triangle in which at least two sides have the same length. right triangle 4. a triangle in which all three sides have the same length. triangle 5. a triangle in which all three angles are acute. obtuse triangle 6. a triangle in which one angle is obtuse. equiangular triangle 7. a triangle in which one angle is a right angle. equilateral triangle 8. a triangle in which all angles are equal. isosceles triangle