T[b]he Sum of the Lengths of any Two Sides of a Triangle is Greater Than the Length of the Third Side.[br][/b][br]Hence, If the 3 Sides are Labeled [color=#1e84cc][b]a[/b][/color], [color=#ff7700][b]b,[/b][/color] and [color=#38761d][b]c[/b][/color], Then Theorem Says That:[br][b][size=100][size=150][color=#1e84cc]a[/color] +[color=#ff7700] b[/color] > [color=#38761d]c[/color][br][color=#1e84cc]a[/color] + [color=#38761d]c[/color] > [color=#ff7700]b[/color][br][color=#ff7700]b[/color] + [color=#38761d]c [/color]> [color=#1e84cc]a[/color][/size][/size][/b]

ACTIVITY #1[br][br]1. Start with [color=#1c4587]Blue = 8[/color] ; [color=#38761d]Green = 0[/color] ; [color=#ff7700]Orange = 0[/color]. [b]Describe what you see[/b]. Then slowly increase both [color=#38761d]Green [/color]and [color=#ff7700]Orange[/color]. [b]What are the largest values of [color=#38761d]Green[/color] and [color=#ff7700]Orange[/color] without creating a triangle[/b]?[br]

ACTIVITY #2[br][br]2. Start with [color=#1c4587]Blue = 8[/color] ; [color=#38761d]Green = 8[/color]; [color=#ff7700]Orange = 0[/color]. [b]Describe what you see[/b]. Now slowly increase [color=#ff7700]Orange[/color]. [b]As long as [color=#ff7700]Orange[/color] is greater than zero, a triangle is created... explain why [/b]?[br][br]3. Leaving[color=#1c4587] Blue[/color] and [color=#38761d]Green [/color]equal to 8, [b]how big does [color=#ff7700]Orange[/color] have to be until a triangle doesn't exist anymore [/b]? Explain

ACTIVITY #3[br][br]4. Explain the Triangle Inequality using your own set of side lengths. In other words, [b]create values for [color=#1155cc]Blue,[/color] [color=#38761d]Green[/color], and [color=#ff7700]Orange [/color]and show the conditions that create a triangle, as well as the conditions to cause the triangle not to exist.[/b]