Look at the construction below. Can you move the points in the construction so that segments a, b, and c form a triangle? In this exploration, you will determine the conditions required for side lengths to form triangles. This set of conditions is known as the Triangle Inequality Theorem.

Part 1) Set the side lengths a, b, and c to 2, 6, and 8, respectively. Can these three segments form a triangle? Why or why not?[br][br]Part 2) Use the slider to adjust the length of the sides, manipulate the points to try to form triangles. The lengths of each sides are written on your worksheet.[br][br]Part 3) Using the results from your chart, let's answer the following questions:[br]a) Compare two side lengths to the third. Are there any pattern(s) that you see?[br]b) What has to be true about the relationships between the sides in order to be able to form triangles?