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 Theorem (V1): Students can use this interactive applet to intuitively and informally discover this theorem.
In Part Two Of Triangle Inequality
Triangle Inequalities of Angles
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!
Inequalities In Two Triangles Calculator
Triangles: Geometry Interactive Notebook - Busy Miss Beebe
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.
Inequalities In Two Triangles
This is a fun way for students to practice identifying and solving problems with inequalities in triangles.
misscalcul8: Geometry Lessons
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