What is a Scalene Triangle
A scalene triangle is a triangle that has three unequal side lengths and three unequal angles. It has no two sides or angles that are the same. In this article, we’ll cover what a scalene triangle is, its definitions, and how to identify a scalene triangle.

Definitions of a Scalene Triangle
A scalene triangle is a three-sided triangle where all three sides are different lengths, and all three angles are different. It is also a triangle where all of its sides have different lengths and none are equal. This type of triangle is said to be “scalene” because its sides have different lengths.

A scalene triangle is the opposite of an isosceles triangle, which is a triangle with two sides that are the same length. A right triangle is also different from a scalene triangle because it has an angle that measures 90°.

How to Identify a Scalene Triangle
A scalene triangle can be easily identified by its three unequal side lengths and three unequal angles. The side length of a scalene triangle can vary in size, but the angle measures will always be different. Additionally, its longest side will always be lower than the sum of the two shorter sides.

To determine if a triangle is a scalene triangle, we can use the Triangle Inequality Theorem. The theorem states that the sum of two side lengths of a triangle must be greater than the measure of the last side for the triangle to be a scalene triangle.

Conclusion
A scalene triangle is a triangle with three unequal side lengths and three unequal angles. It is different from an isosceles triangle and a right triangle because it has no two sides or angles that are the same. A scalene triangle can be identified by its three unequal side lengths and three unequal angles and can be determined using the Triangle Inequality Theorem.