Copy of Triangle Inequality Theorem

#1 Move around the verticies of each triangle. What relationship do you see with the angles and the sides ACROSS from them?
You may need to go back to the top to examine a few triangles before you fill in the blank to this statement accurately. [br]The shortest side of any triangle will always be across from the _____________ angle of that triangle.
Connect the vertices of the three segments to try and create a triangle. (Hint: start with the longest segment as the base). Then answer the questions below.
Example #1
[size=200]Do these three segments create a triangle?[/size]
Example #2
[size=200]Do these three segments create a triangle?[/size]
[size=200]Do these three segments create a triangle?[/size]
[size=200]Do these three segments create a triangle?[/size]
Look at the lengths of the segments that did create a triangle. What do you notice?
Look at the lengths of the segments that did NOT create a triangle. What do you notice?
Write a rule that would allow you to determine if any set of measurements (a, b, and c) will form a triangle. [br](Let c be the longest side)
[size=150]Look back at example #2, does this rule work? [/size]
Name the side lengths for 3 different triangles that you were able to make.
List the side lengths for 3 different non-triangles. (What examples did you create that did NOT make a triangle).
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