Many people are familiar with the Pythagorean Theory, which describes the relationship between the hypotenuse (or the two sides) of a right triangle. The theorem can be seen as a constraint for right triangles, which means it helps to classify a three-sided figure in right triangle form. We can also use two other inequalities to determine if a triangle has an acute or obtuse side by side. This is why the Pythagorean inequality theorem was created. This collection of worksheets is ideal for high school students. They can use them to practice and progress the Pythagorean inequalities theorem as well as classifying triangles. Get started with our free worksheet.