Triangle Inequality
The Triangle Inequality is a fundamental principle in geometry that states the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This rule applies to all types of triangles, ensuring that the three sides can indeed form a closed shape. For example, if one side measures 3 units and another side measures 4 units, the third side must be less than 7 units to satisfy the inequality.
This concept is not only crucial in geometry but also has applications in various fields such as mathematics, physics, and computer science. It helps in understanding the relationships between different lengths and is essential for solving problems related to triangles and their properties.