Determining If Triangle Inequality Holds

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!

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

Proves Inequalities In A Triangle

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

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 Worksheet
Triangle Inequality Theorem Worksheet

Inequality In A Triangle

Triangle inequality theorem

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

This card sort activity is the perfect way for High School geometry students to review the triangle inequality theorem and the Pythagorean theorem.  This card sort activity requires students to use the Triangle Inequality Theorem, Converse of the Pythagorean Theorem, and Pythagorean Inequality Theorems to classify triangles as Acute, Obtuse, Right, or Not a Triangle when given 3 side lengths. This high school geometry activity is so much more fun than a regular free geometry worksheet.

Triangle Inequality Practice Questions

Free Triangle Inequality Theorem foldable for Geometry Classroom

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.

Triangle Inequality: Discovery Lesson
Triangle Inequality: Discovery Lesson
Triangle Worksheets
Triangle Worksheets
Pythagorean & Triangle Inequality Theorems Card Sort
Pythagorean & Triangle Inequality Theorems Card Sort
Triangle Inequality Theorem Dice Investigation Activity
Triangle Inequality Theorem Dice Investigation Activity
Triangle Inequality Theorem Foldable
Triangle Inequality Theorem Foldable
Triangle Inequality Theorem
Triangle Inequality Theorem
Worksheet Triangle Inequalities
Worksheet Triangle Inequalities
Triangle Inequality Theorem Worksheets | Finding the Range | 6th 7th Grade
Triangle Inequality Theorem Worksheets | Finding the Range | 6th 7th Grade
a worksheet with triangles and numbers to help students learn how to use them
a worksheet with triangles and numbers to help students learn how to use them
Triangle Inequality Theorem Activity 7.G.A.2
Triangle Inequality Theorem Activity 7.G.A.2

Triangle Inequality Theorem worksheets and range calculation activities designed for 6th grade and 7th grade math students. These no-prep math detective missions help students master triangle stability using whole numbers and decimals while finding the range of the third side. What's Inside this 16-...

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.

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