AG-CH2.2 Triangle Inequality

[color=#980000][b][size=200]Part I[/size][/b][/color]
Example 1
Can you make a triangle of sides: 8, 8, 8?
Example 2
Can you make a triangle of sides: 6, 8, 15?
Question 1
Can you make a triangle of sides: 3, 4, 5?
Question 2
Can you make a triangle of sides: 4, 6, 12?
Question 3
Can you make a triangle of sides: 4, 6, 10?
Question 4
Can you make a triangle of sides: 4, 6, 8?
Question 5
Can you make a triangle of sides: 1, 3, 3?
Question 6
Can you make a triangle of sides: 5, 15, 15?
[color=#980000][b][size=200]Part II[/size][/b][/color]
Question 7
Play around with this applet and write two sets of numbers that cannot be used to make a triangle, and two sets of numbers that can be used to create a triangle (do not use any of the examples already used in this activity.
[color=#980000][b][size=200]Part III[br][/size][/b][/color]Play with the following applet. Move the dots to change the size of the triangle, then use the "Slide Me!" Bar to see what happens.
Question 8
What happens when you slide the "Slide Me!" bar?
Question 9
What can you say about the the smallest angle and the smallest side of a triangle?
Question 10
What can you say about the longest side and the largest angle of a triangle?
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Information: AG-CH2.2 Triangle Inequality