Triangle Inequality Theorem of Two Triangles

• Included Angle


  An angle in between two sides of a triangle
• The Hinge Theorem or SAS Inequality Theorem


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


  If two sides of one triangle are congruent to two sides of another triangle, and the third side of the triangle is longer than the third side of the second triangle, then the included angle of the first triangle is greater than the included angle of the second triangle