# Triangle Inequality Theorem

## Move point C to change the shape of the triangle. Slide to change the lengths of sides AB and BC.

Pick a random number for AB and BC. Add the length of AB and BC. How does this compare to the length of AC?

Is there any value of AB and BC such that the sum of AB and BC will be less than the length of AC?

Which of the following is the correct conclusion based on this exploration?

If AB = 15 and BC = 7, what are some possible values of AC?