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Triangle Inequalities in two triangles.notebook January 11, 2013 Section 56: Inequalities in two triangles Hinge Theorem(SAS Inequality) If 2 sides of one triangle are congruent to two sides of another triangle and the included angles are not congruent, then the longer third side is across from the larger included angle. Converse of Hinge Theorem(SSS Inequality) If 2 sides of one triangle are congruent to two sides of another triangle and the third sides are not congruent, then the larger included angle is across from the longer third side. 1 Triangle Inequalities in two triangles.notebook January 11, 2013 Exterior Angle Inequality. a b c 2 Triangle Inequalities in two triangles.notebook January 11, 2013 3 Triangle Inequalities in two triangles.notebook January 11, 2013 4 Triangle Inequalities in two triangles.notebook January 11, 2013 5