The Hinge Theorem and its converse are two theorems that concern inequalities involving the sides and angles of two triangles. The Hinge Theorem is also known as the SAS Inequality Theorem, while its converse is known as the SSS Inequality Theorem. The converse of the Hinge Theorem states that if two triangles have two congruent sides, then the triangle with the longer third side will have a larger angle opposite that third side.