Consider The 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 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

Inequalities In A Triangle

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!

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Worksheet Triangle Inequalities
Worksheet Triangle Inequalities
The Triangle Inequality
The Triangle Inequality

In Part Two Of Triangle Inequality

Triangle Inequality: Discovery Lesson

11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
Triangle Inequality Theorem Discovery Activity 7.G.A.2
Triangle Inequality Theorem Discovery Activity 7.G.A.2

Triangle inequality theorem

Prove The Triangle Inequality

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.

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.

11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
11 Triangle Inequality Theorem Activities That Rock - Idea Galaxy
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Worksheet
Triangle Inequality: Discovery Lesson
Triangle Inequality: Discovery Lesson
Triangle Worksheets
Triangle Worksheets
Triangle Inequality Theorem ~ Discovery Activity and Practice
Triangle Inequality Theorem ~ Discovery Activity and Practice
Triangle Inequality Theorem
Triangle Inequality Theorem
Triangle Inequality Theorem Activity 7.G.A.2
Triangle Inequality Theorem Activity 7.G.A.2
Geometry Worksheets | Triangle Worksheets
Geometry Worksheets | Triangle Worksheets
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

Get students up and moving with this cooperative activity reinforcing the triangle inequality theorem. This gallery walk places challenging problems around the classroom. Working in partners, students practice the concept, use math talk, and promotes problem solving. Supports CCSS 7.G.A.2.

The Triangle Inequality Theorem Worksheets

Triangle Inequality Theorem

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