# AG-CH2.2 Triangle Inequality

**Part I**

## 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?

**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?