scalene triangle
a triangle with no congruent sides
A scalene triangle is a type of triangle where none of the three sides have equal length. In other words, all three sides have different lengths. Additionally, the angles of a scalene triangle are also different from each other. Therefore, none of the three interior angles of a scalene triangle are congruent.
Scalene triangles can have various permutations of lengths for their sides and angles. For example, a scalene triangle could have a very long base with shorter sides, or it could have relatively equal side lengths with acute angles, or even obtuse angles. Some examples of scalene triangles include a 3 cm, 4 cm, and 5 cm triangle, a 5 cm, 6 cm, and 7 cm triangle, and a 9 cm, 12 cm, and 15 cm triangle.
One important thing to note about scalene triangles is that because none of the sides or angles are congruent, certain geometric properties that are true for isosceles or equilateral triangles will not be true for scalene triangles. For example, in an isosceles triangle, the median from the base to the opposite vertex will bisect the angle at the top of the triangle as well as the base. However, this property will not be true for a scalene triangle.
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