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GeoGebraGeoGebra Classroom

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?