# Ambiguous Case Investigation

## a > b

1. Set the slider to 6. Move point B so a triangle is created. Move point B again and try to create another triangle, without points A and C moving. How many triangles can be created?

## a > b

2. Set the slider to 5. Move point B so a triangle is created. Move point B again and try to create another triangle, without points A and C moving. How many triangles can be created?

## a = b

3. Set the slider to 4. Move point B so a triangle is created. Move point B again and try to create another triangle, without points A and C moving. How many triangles can be created?

## a < b

4. Set the slider to 3. Move point B so a triangle is created. Move point B again and try to create another triangle, without points A and C moving. How many triangles can be created?

## a = 1/2 b

Set the slider to 2. Move point B so a triangle is created. What type of triangle is created? What is the ?

## a < 1/2b

Set the slider to 1. Move point B to create a triangle, without points A and C moving. How many triangles can be created?