Negative 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

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

Negative Triangle Inequality Rule

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

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
The Triangle Inequality
Triangle Inequality: Discovery Lesson
Triangle Inequality: Discovery Lesson

Negative Triangle Inequality Rule

Triangle inequality theorem

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

Triangle Inequality Theorem - fun with licorice - geometry activity

Negative Triangle Inequality Rule

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.

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.

Triangle Worksheets
Triangle Worksheets
Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Worksheet
Geometry Triangle Inequality Theorem Activity and Problems
Geometry Triangle Inequality Theorem Activity and Problems
Pythagorean & Triangle Inequality Theorems Card Sort
Pythagorean & Triangle Inequality Theorems Card Sort
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
Worksheet Triangle Inequalities
Worksheet Triangle Inequalities
Triangle Inequality Theorem ~ Discovery Activity and Practice
Triangle Inequality Theorem ~ Discovery Activity and Practice
Proofs without words
Proofs without words
Solve Inequalities Explained | Easy Algebra & Number Line Math Guide
Solve Inequalities Explained | Easy Algebra & Number Line Math Guide
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!

Teach Solve Inequalities with this easy hand-drawn algebra infographic! Students learn how to solve inequalities using inverse operations, isolate the variable, and remember the important rule: flip the inequality sign when multiplying or dividing by a negative number. Includes inequality symbols, worked examples, graphing tips with open and closed circles, and simple notes for number lines. Perfect for middle school math, homeschool lessons, classroom anchor charts, and quick revision. Save this pin to help students master inequality solving with confidence. #SolveInequalities #Inequalities #AlgebraBasics #MathForKids #MathEducation #MiddleSchoolMath #TeachingMath #Homeschooling #MathAnchorChart #StudyTips

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