Inequalities in Two Triangles

• Hinge Theorem or SAS Inequality Theorem


  If two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second
• Converse of Hinge Theorem or SSS Inequality Theorem


  If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the first triangle is larger than the included angle of the second
• Included angle


  The angle formed by the two sides of the triangle