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5.5 INEQUALITIES IN TRIANGLES (PART TWO). Think back…. What do we remember about the exterior angles of a triangle?

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Presentation on theme: "5.5 INEQUALITIES IN TRIANGLES (PART TWO). Think back…. What do we remember about the exterior angles of a triangle?"— Presentation transcript:

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 > 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

12


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