Exploring The Triangle Inequality

Move the sliders to change the side lengths of the triangles. (You may need to zoom in and out when the triangle changes size)

If a = 5 and b = 8, what are the values of c that will produce a triangle?

If a = 5, what can you say about the possible values of b and c that will produce a triangle?

Make a conjecture about what the relationship of the side lengths of a triangle. What lengths are possible? What lengths don't produce a triangle? Are the any formulas or other truths you think are always true?