Reverse Triangle Inequality

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

The Triangle Inequality
The Triangle Inequality

Prove The Reverse Triangle Inequality

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 Discovery Activity 7.G.A.2

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: Discovery Lesson
Triangle Inequality: Discovery Lesson

Reverse Triangle Inequality Complex Numbers

Triangle inequality theorem

11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Worksheet

This performance task activity for the triangle inequality theorem from Illustrative Mathematics gives students real world applications. Check out all 11 activities for triangle inequality theorem.

Reverse Triangle Inequality Theorem

Free Triangle Inequality Theorem foldable for Geometry Classroom

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Triangle Inequality Theorem Discovery Activity 7.G.A.2
Triangle Inequality Theorem Discovery Activity 7.G.A.2
Triangle Worksheets
Triangle Worksheets
Worksheet Triangle Inequalities
Worksheet Triangle Inequalities
Proofs without words
Proofs without words
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
two people standing on the edge of a large piece of paper that is shaped like a triangle
two people standing on the edge of a large piece of paper that is shaped like a triangle
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!
a person sitting at a table with some pencils and paper on top of it
a person sitting at a table with some pencils and paper on top of it
Geometry Worksheets | Triangle Worksheets
Geometry Worksheets | Triangle Worksheets

misscalcul8: Triangle Inequality Skewers

The Triangle Inequality Theorem Worksheets

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