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

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5.5 INEQUALITIES IN TRIANGLES (PART TWO)

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

What is the largest angle shown?

Also remember that corollaries flow directly from theorems…

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

Try this….

Triangle Inequality Theorem

Are Triangles Possible With these Lengths?

Got that?

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

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