If two sides of one triangle are equal to two sides of another triangle, and the included angle of the first triangle is larger than the second, then the third side of the first triangle is longer than the third side of the second triangle. Conversely, if two sides are equal in two triangles and the third side of the first triangle is longer, then the included angle of the first triangle is larger.

1. Terms of Endearment Inequalities in Two Triangles: 5.6

2. Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second Basically, if two sides are congruent in two triangles, the one with the larger included angle will have the longer third side

3. Converse of the Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second Basically, if two sides are congruent in two triangles…the one with the longer third side will have the larger included angle