Johnson -Copy of Triangle Inequality Theorem

Triangle Inequality Theorem
Triangle Inequality Exploration
Question #1
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?
Question #2
Slide the sliders to different values so that you can move the yellow points together to make a different triangle.[br][br]What is your "a" value?[br]What is your "b" value?[br]What is your "c" value?
Question #3
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?
Question #4
Slide the sliders to the following values:[br][color=#ff0000]a = 6[/color][br][color=#0000ff]b = 3[/color][br][color=#38761d]c= 12[br][/color][br]Is it possible to move the yellow points to make a triangle?
Question #5
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]What are your values for[br][color=#ff0000]a = ?[/color][br][color=#0000ff]b = ?[/color][br][color=#38761d]c= ?[/color][br][br]
Question #6
What do you think has to be true about the side lengths in order to make a triangle?
Question #7
What do you think has to be true about the side lengths in order to make it [color=#9900ff]IMPOSSIBLE[/color] to make a triangle?
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Information: Johnson -Copy of Triangle Inequality Theorem