Proving Inequalities in a Triangle

Proving Inequalities in a Triangle

• Theorems of Inequalities in One triangle

​

If one side of a triangle is longer than a second side, then the angle opposite the longer side is larger than the angle opposite the secind side.

If one angle of triangle, is larger than s second angle, then the side opposite the larger angle ids lonher than the side oposite the second angle.

​

The sum of the lenghts of any two sides of a triangle is greater than the lenght of the third side.

The measure of an exterior angle of a triangle is greater than the measure of either remote interior angle.

​Exterior Angle Inequality Theorem