1. Constructions!

2. The Triangle Inequality
5.5 Notes
The Triangle Inequality

3. Triangle Inequality Theorem

4. Example 1
a) Is it possible to form a triangle with side lengths of 6.5, 6.5, and 14.5? If not, explain why not.

5. Example 1
b) Is it possible to form a triangle with side lengths of 6.8, 7.2, 5.1? If not, explain why not.

6. Example 2 In ΔPQR, PQ = 7.2 and QR = 5.2. Which measure cannot be PR?
a) b) 9
c) d) 13

7. Example 3
The towns of Jefferson, Kingston, and Newbury are shown in the map below. Prove that driving first from Jefferson to Kingston and then Kingston to Newbury is a greater distance than driving from Jefferson to Newbury.