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Johnson -Copy of Triangle Inequality Theorem

Triangle Inequality Theorem
Triangle Inequality Exploration

Question #1

Slide the sliders to the following values: a = 5 b = 6 c= 3 Is it possible to move the yellow points to make a triangle?

勾選所有適當的選項
  • A
  • B
核對我的答案 (3)

Question #2

Slide the sliders to different values so that you can move the yellow points together to make a different triangle. What is your "a" value? What is your "b" value? What is your "c" value?

Question #3

Slide the sliders to the following values: a = 6 b= 4 c= 2 Is it possible to move the yellow points together to make a triangle?

勾選所有適當的選項
  • A
  • B
核對我的答案 (3)

Question #4

Slide the sliders to the following values: a = 6 b = 3 c= 12 Is it possible to move the yellow points to make a triangle?

勾選所有適當的選項
  • A
  • B
核對我的答案 (3)

Question #5

Slide the sliders to different values where no matter how you move the yellow dots, the lines CAN NOT connect to make a triangle. What are your values for a = ? b = ? c= ?

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 IMPOSSIBLE to make a triangle?