scalene triangle
a triangle with no congruent sides
A scalene triangle is a type of triangle in which all three sides are of different lengths. It is a type of irregular triangle because it lacks congruent sides or angles.
The word scalene comes from the Greek word skalenos, which means unequal. Therefore, when we say that a triangle is scalene, we mean that all three sides are different from each other.
In a scalene triangle, each of the three angles is also different from the others. One angle may be acute, meaning it’s less than 90 degrees, while another angle may be obtuse, meaning it’s greater than 90 degrees. The third angle will always be acute, due to the triangle’s angle sum theorem, which states that the sum of the angles in a triangle is always 180 degrees.
Scalene triangles have a number of important properties. For example, the area of a scalene triangle can be calculated using Heron’s formula, which takes into account the length of all three sides. Also, because scalene triangles lack symmetry, they are often more difficult to work with in geometry problems than equilateral or isosceles triangles.
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