Acute scalene triangleĪn acute scalene triangle is a triangle that has no congruent sides or angles in which all the angles are acute. Scalene triangles can be acute, obtuse, or right. Scalene triangles can be right triangles, obtuse triangles, or acute triangles.In contrast, equilateral and isosceles triangles both have line(s) of symmetry. No line of symmetry - a scalene triangle cannot be divided into two identical halves.Scalene triangles specifically have the following properties: There are more properties that all triangles share, but these are a few commonly used properties in geometry. The sum of the length of any two sides of a triangle is greater than the length of the third side.It is worth noting that the ratios do not correspond: if side a is twice the length of b, it does not mean that angle A is twice the size of angle B. The length of the side of a triangle corresponds to the size of the angle opposite the side the longer the side, the larger the angle.The sum of all internal angles of a triangle is equal to 180°.There are some properties that all triangles share: It is just one of the types of scalene triangles (more are described below). The scalene triangle in this example is a right scalene triangle. The sail on a sailboat is a real-world example of a scalene triangle:

It can have acute, obtuse, or right angles, which all have very different shapes. What does a scalene triangle look likeīecause a scalene triangle has no equal sides, it can take on a number of forms. To identify if a triangle is scalene, check whether it has any congruent sides or angles if it does, it is not a scalene triangle if it doesn't, it is a scalene triangle. What is a scalene triangleĪ scalene triangle is defined as a three-sided polygon whose side lengths and angles are all different. This is commonly used notation in geometry sides that are the same length (congruent) are indicated using the same number of tick marks and angles that are the same are indicated using the same number of arcs. In the figure above, the differing number of tick marks and arcs indicate that each side and angle of the triangle has a different measure. The figure below shows a scalene triangle example. Home / geometry / triangle / scalene triangle Scalene triangleĪ scalene triangle is a triangle in which none of the three sides or angles are equal.

Large scalene triangle