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.
Triangle Inequality: Discovery Lesson
Consider The Triangle Inequality
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.
Triangle inequality theorem
How To Do The Triangle Inequality Theorem
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In this activity, students will apply knowledge of the triangle inequality theorem to determine if the three sides given can form a triangle–as they color! This engaging activity helps reinforce the concept while students have fun! This activity is an exellent choice for sub plans, homework, enrichment, or just plain fun!
Triangle Inequality Real Analysis
misscalcul8: Geometry Unit 4: Triangles Interactive Notebook
The Triangle Inequality Theorem Worksheets
