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

The Triangle Inequality
The Triangle Inequality

Triangle Inequality Modulus

Angles In A Triangle Worksheet

misscalcul8

Triangle Inequality: Discovery Lesson
Triangle Inequality: Discovery Lesson
Worksheet Triangle Inequalities
Worksheet Triangle Inequalities

Triangle Inequality Theorem Worksheet

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Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Worksheet
Angles In A Triangle Worksheet
Angles In A Triangle Worksheet

Triangle Inequality Theorem

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Triangle inequality theorem

triangle inequality notes - Google Search

a person sitting at a table with some pencils and rulers on top of it
a person sitting at a table with some pencils and rulers on top of it
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
a piece of paper with an image of a triangle and the word, triangle inequa
a piece of paper with an image of a triangle and the word, triangle inequa
Triangle Worksheets
Triangle Worksheets
a piece of paper with writing on it that has triangles and numbers written in red
a piece of paper with writing on it that has triangles and numbers written in red
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
Triangle Inequality Theorem
Triangle Inequality Theorem
Triangle Inequality Theorem: Geometry
Triangle Inequality Theorem: Geometry

Check out these 11 activities to get students real world practice with the triangle inequality theorem. This post includes print and go resources, online math tools, challenge questions, and more. Check it out!

Triangles are among the most fundamental shapes in geometry, and their properties help us understand countless mathematical and real-world concepts. One of the most important properties of triangles is expressed through the Triangle Inequality Theorem — a principle that determines whether three given line segments can form a triangle.

Testing triangle sides for geometry can be as simple as cutting strips of paper in various measures. Allow students to test the various combinations to see if a triangle can be formed. Then as a class, establish the triangle rule that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. Save this hands on math activity for later and follow me for more middle school math tips.

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