Triangle Side Inequality Theorem

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!

Triangle inequality theorem

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 Theorem Geometry

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

Triangle Inequality Theorem Worksheet

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

The Triangle Inequality Theorem

Triangle Inequality Theorem & Triangle Side-Angle Relationships in Geometry Common CoreScaffolded with graphic organizer on first page. 11 questions total.Students will need to apply the Triangle Inequality Theorem to see if a set of given sides will create a triangle.Students will need to apply the Triangle Angle-Side Relationship to determine the smallest side in a triangle or largest side in a triangle given angle measures.Students will need to apply the Triangle Angle-Side Relationship to determine the smallest angle in a triangle or largest angle in a triangle given side lengths.Takes roughly 15-20 minutes.NO PREP NEEDED. Answer key and DETAILED SOLUTIONS provided!GREAT RESOURCE for Geometry Common Core Regents Review.Do you want more test review prep worksheets/station activities

Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem Worksheet
Triangle Inequality: Discovery Lesson
Triangle Inequality: Discovery Lesson

#education #math #mathematics #grade8grad

Triangle Inequality Theorem Examples

Greatest possible measure of the Third Side

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 Worksheet
Triangle Inequality Theorem Worksheet
Triangle Inequality Theorem & Triangle Side-Angle Relationships in Geometry CC
Triangle Inequality Theorem & Triangle Side-Angle Relationships in Geometry CC
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
Triangle Inequality Theorem 1, 2 and 3 Cheat Sheet!
Triangle Inequality Theorem Worksheets
Triangle Inequality Theorem Worksheets
Triangle Side Inequality Theorem Discovery Activity & Practice
Triangle Side Inequality Theorem Discovery Activity & Practice
The Triangle Inequality
The Triangle Inequality
Triangle Inequality Theorem Discovery Activity 7.G.A.2
Triangle Inequality Theorem Discovery Activity 7.G.A.2
Triangle Inequality Theorem Doodle Scaffolded Notes | Range of Third Side
Triangle Inequality Theorem Doodle Scaffolded Notes | Range of Third Side
the hypotene and opposite side of a triangle are labeled in two different languages
the hypotene and opposite side of a triangle are labeled in two different languages
Pythagorean & Triangle Inequality Theorems Card Sort
Pythagorean & Triangle Inequality Theorems Card Sort

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

Triangle Inequality Theorem Doodle Notes or Graphic Organizer

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.

Related Articles