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!
This is a fun way for students to practice identifying and solving problems with inequalities in triangles.
Proof Of Triangle Inequality
Triangle Inequality Theorem (V1): Students can use this interactive applet to intuitively and informally discover this theorem.
Triangles: Geometry Interactive Notebook - Busy Miss Beebe
Inequalities In One Triangle Ppt
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.
Free Triangle Inequality Theorem foldable for Geometry Classroom
How To Prove Triangle Inequality
My students love doing puzzles rather than long worksheets. This is a great way for students to practice solving inequalities. Students tape the answer to an inequality to the problem. Once all of the pieces are together they will have a triangle. I had my students paste their triangles to 1/2 a poster board.
Triangle Inequality Theorem Worksheet
misscalcul8: Geometry Unit 4: Triangles Interactive Notebook
Triangle Inequality Theorem Discovery Activity 7.G.A.2
Students will explore the triangle inequality theorem by trying to create their own triangles with various side lengths. Students will cut out strips of paper to represent the side lengths of the triangles, then will put a given three together to test and see if a triangle can be formed.