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!
The Triangle Inequality Theorem Interactive Notebook Page for Geometry
Isosceles Triangle Inequality Theorem
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.
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Perimeter Triangle Inequality Theorem
Triangle Inequality Theorem (V1): Students can use this interactive applet to intuitively and informally discover this theorem.
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.
Geogebra Triangle Inequality Theorem
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Free Triangle Inequality Theorem foldable for Geometry Classroom
Greatest possible measure of the Third Side
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Triangle Inequality Theorem Worksheet
The Triangle Inequality Theorem Worksheets