1. The Hinge Theorem Sec 5.6
Goal:
To use the hinge theorem

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

3. Hinge Theorem Converse - 5.1
If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is longer than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle.

4. Example
Complete with <, >, or =.

5. Example
Use an inequality to describe a restriction on the value of x as determined by the Hinge Theorem or its converse.

6. Example
List the sides from smallest to largest.

7. Example
List the sides from smallest to largest.