Triangle Inequality Theorem

The Triangle Inequality Theorem is a fundamental geometric principle governing the relationships between the sides of a triangle. This theorem asserts that the sum of the lengths of any two sides of a triangle must always be greater than the length of the third side. In essence, it provides a concise and indispensable criterion for determining the validity of a triangle based on its side lengths. Widely applied in geometry and mathematics, the Triangle Inequality Theorem serves as a foundational tool for analyzing and understanding the geometric properties and constraints inherent in triangular shapes.