**The triangle inequality theorem states that in a triangle, you can pick any two sides’ measures, and when you add them together, the sum will be greater than the measure of the third side. This theorem can be a great importance in construction working. If a construction worker is trying to construct something with a triangle shape, and wants to know if the three measures will make a triangle, then the worker can use the triangle inequality theorem to add the measures together, and see if they will work. For example, if you had a measurement of 3, 10, and 8 then add them together, 13>8, 18>3, and 11>10. Therefore, the three measurements can make a triangle.**