Prove The Triangle Inequality

Triangle Inequality Theorem - fun with licorice - geometry activity

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.

a triangle worksheet with the measurements for triangles and their corresponding numbers on it
a triangle worksheet with the measurements for triangles and their corresponding numbers on it

Triangle Inequality Real Analysis

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

Worksheet Triangle Inequalities
Worksheet Triangle Inequalities
Geometry Triangle Inequality Theorem Activity and Problems
Geometry Triangle Inequality Theorem Activity and Problems

Consider The Triangle Inequality

Triangle inequality theorem

The Triangle Inequality
The Triangle Inequality
Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Worksheet

Triangle Inequality Theorem Discovery Activity 7.G.A.2

Prove The Reverse Triangle Inequality

The Triangle Inequality Theorem Worksheets

Triangle Inequality Theorem Worksheet

11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
Triangle Inequality: Discovery Lesson
Triangle Inequality: Discovery Lesson
Triangle Worksheets
Triangle Worksheets
Triangle Inequality Theorem Discovery Activity 7.G.A.2
Triangle Inequality Theorem Discovery Activity 7.G.A.2
Geometry Worksheets | Triangle Worksheets
Geometry Worksheets | Triangle Worksheets
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
Proofs without words
Proofs without words
Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Foldable
Triangle Inequality Theorem Foldable
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!

Free Triangle Inequality Theorem foldable for Geometry Classroom

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