The Triangle Inequality Activity
In this application you are looking at the lengths of the sides of a triangle. You are trying to see if there is a relationship between the lengths of the sides and to see if there is a limside lit to the lengths of the sides
1. Adjust the side lengths of AB and AC
Compare AB to AC + CB
Compare AC to AB +CB
Compare CB to AB + AC
2. What can you say about the length of the side of a triangle
3. Adjust the side lengths so that AB is the same length or longer than AC
4. Move C so that BC is the absolute longest it could be.
Compare the length of CB to AB +AC
5. Move C so that BC is the absolute shortest it could be.
Compare the length of CB to AB - AC
6. What is the absolute longest a side of a triangle can be? What is the absolute shortest?