5.6: Inequalities in Two Triangles
Theorems:
Hinge Theorem  If two 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 the Hinge Theorem  if two 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. 

Examples: