Triangle Inequality: Discovery Lesson
Get students real world practice with the triangle inequality theorem with these 11 activity ideas. Includes print and go resources, discovery learning, online math tools, challenge questions, and more. Check it out!

Triangle Inequality Real Analysis
Triangle inequality theorem
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.


Inequality With Absolute Value
The Triangle Inequality Theorem Worksheets


misscalcul8: Geometry Unit 4: Triangles Interactive Notebook
Inequality In A Triangle
This triangle inequality theorem activity will get students engaged and hands-on with their practice. Check out all 11 activities for teaching the triangle inequality theorem.
Classifying Triangles | Pythagorean Inequality | Table Format










misscalcul8: Geometry Lessons