1. 5.5 INEQUALITIES IN TRIANGLES (PART TWO)

2. Think back…. What do we remember about the exterior angles of a triangle?

3. What is the largest angle shown?

4. Also remember that corollaries flow directly from theorems…

5. Why is m<4 is greater than m<5?

6. Try this….

7. Triangle Inequality Theorem

8. Are Triangles Possible With these Lengths?

9. Got that?

10. What if I only know 2 Sides? What are all the possible lengths of the third side of a triangle if the other sides are 9 in and 17 in? Lets say the third side is the Largest Side. 9 + 17 > x 26 > x Lets say the third side is the Smallest Side. x + 9 > 17 x > 8

11. A Triangles sides are 3 in and 12 in. What could the third side be? Say x is a smaller side. Say x is the Largest Side