Triangle Inequality Theorem (V1): Students can use this interactive applet to intuitively and informally discover this theorem.
Triangle inequality theorem

Proves Inequalities In A Triangle
This is a challenging quick quiz that assesses students' ability to solve problems involving triangle side length and angle measure inequalities. It is a great tool to obtain fast feedback data to drive your instruction. In order to provide the best quality materials for the best teachers, please leave detailed feedback if you find an error. Leave a valid email address and I'll send you a free product of your choice.
Triangle Inequalities of Angles


In Part Two Of Triangle Inequality
The triangle inequality says a detour is never shorter than going straight. ‖u + v‖ ≤ ‖u‖ + ‖v‖ Equality holds exactly when u and v are parallel and point the same way; in the general case the direct vector u + v is strictly shorter than following u then v. The same statement reappears for real numbers as |a + b| ≤ |a| + |b| and for integrals as |∫f| ≤ ∫|f|, with the reverse form ‖u‖ − ‖v‖ ≤ ‖u − v‖ often the more useful of the two. This single inequality is what makes a distance a distance.


Check for Similar Triangles
Inequalities In Two Triangles Worksheet
Challenge yourself with our Triangle Inequalities Maze 🧩! Perfect for practicing solving multi-step and one-step inequalities with fun maze activities and answer keys. Ideal for classrooms or homeschooling. Visit our site today and download a free selection of this and similar math puzzle resources to enhance your learning experience!
A blog about free resources for the secondary math classroom.







Testing triangle sides for geometry can be as simple as cutting strips of paper in various measures. Allow students to test the various combinations to see if a triangle can be formed. Then as a class, establish the triangle rule that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. Save this hands on math activity for later and follow me for more middle school math tips.