Triangular Inequality

The Triangle Inequality is a principle in mathematics stating that, for any three points, the direct distance from point A to point C is always less than or equal to the sum of the distances from A to B and B to C. Think of it like taking a shortcut: traveling directly is never longer than taking a detour through a third point. This concept applies to any kind of distance measurement, ensuring the shortest path between two points is a straight line or the most direct route. It’s fundamental in fields like geometry, analysis, and computer science for understanding distances and optimizations.