Triangle Inequality

The Triangle Inequality states that, in any triangle, the length of one side is always less than or equal to the sum of the lengths of the other two sides. This means the shortest distance between two points is a straight line, and taking a detour (adding another side) can only make the path longer or equal in length. It helps us understand that direct routes are the shortest, and it applies to distances in geometry, graphs, and even in measuring differences in data. Essentially, it sets a fundamental limit on how distances or lengths can relate in a system.