AG-CH2.2 Triangle Inequality

Topic:
Triangles
Part I

Example 1

Can you make a triangle of sides: 8, 8, 8?

Check all that apply

Example 2

Can you make a triangle of sides: 6, 8, 15?

Check all that apply

Question 1

Can you make a triangle of sides: 3, 4, 5?

Check all that apply

Question 2

Can you make a triangle of sides: 4, 6, 12?

Check all that apply

Question 3

Can you make a triangle of sides: 4, 6, 10?

Check all that apply

Question 4

Can you make a triangle of sides: 4, 6, 8?

Check all that apply

Question 5

Can you make a triangle of sides: 1, 3, 3?

Check all that apply

Question 6

Can you make a triangle of sides: 5, 15, 15?

Check all that apply
Part II

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.

Part III 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?