Triangle Inequality Theorem
Triangle Inequality Exploration
Slide the sliders to the following values:[br][color=#ff0000]a = 5[/color][br][color=#0000ff]b = 6[/color][br][color=#38761d]c= 3[/color][br][br]Is it possible to move the yellow points to make a triangle?
Slide the sliders to the following values:[br][color=#ff0000]a = 5[/color][br][color=#0000ff]b= 9[/color][br][color=#38761d]c= 1[br][br][/color]Is it possible to make a triangle with these side lengths?
Slide the sliders to the following values:[br][color=#ff0000]a = 6[/color][br][color=#0000ff]b = 3[/color][br][color=#38761d]c= 11[br][/color][br]Is it possible to move the yellow points to make a triangle?
Slide the sliders to the following values:[br][color=#ff0000]a = 8[/color][br][color=#0000ff]b = 8[/color][br][color=#38761d]c= 12[br][/color][br]Is it possible to move the yellow points to make a triangle?
Slide the sliders to the following values:[br][color=#ff0000]a = 6 [/color][br][color=#0000ff]b= 4 [/color][br][color=#38761d]c= 2[/color][br][br]Is it possible to move the yellow points together to make a triangle?
Slide the sliders to the following values:[br][color=#ff0000]a = 9[/color][br][color=#0000ff]b = 9[/color][br][color=#38761d]c= 9[br][/color][br]Is it possible to move the yellow points to make a triangle?
Slide the sliders to the following values:[br][color=#ff0000]a = 3[/color][br][color=#0000ff]b = 3[/color][br][color=#38761d]c= 10[br][/color][br]Is it possible to move the yellow points to make a triangle?
Slide the sliders to the following values:[br][color=#ff0000]a = 4[/color][br][color=#0000ff]b = 8[/color][br][color=#38761d]c= 9[br][/color][br]Is it possible to move the yellow points to make a triangle?
Slide the sliders to different values where no matter how you move the yellow dots, the lines [color=#9900ff]CAN [b]NOT[/b] [/color]connect to make a triangle. [br][br]1. List your values for[br][color=#ff0000]a = ?[/color][br][color=#0000ff]b = ?[/color][br][color=#38761d]c= ?[/color][br][br]2. Explain why these values can't make a triangle? What makes it impossible?
Slide the sliders to different values where no matter how you move the yellow dots, the lines [color=#9900ff][b][u]CAN[/u] [/b][/color]connect to make a triangle. [br][br]1. List your values for[br][color=#ff0000]a = ?[/color][br][color=#0000ff]b = ?[/color][br][color=#38761d]c= ?[/color][br][br]2. Explain why these values are able to make a triangle? What makes it possible this time?