The document discusses theorems and properties related to triangles, including: 1) The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. 2) If one side of a triangle is longer than another, the angle opposite the longer side is larger than the angle opposite the shorter side. 3) The measure of an exterior angle of a triangle is greater than the measure of either of the two nonadjacent interior angles.

1. Inequalities in One Triangle Objectives: - Use triangle measurement to decide which side is longest or which angle is largest. - Use the Triangle Inequality