MathPlotAI Logo MathPlotAI

Triangular Inequality – Building a Triangle

Triangular Inequality – Building a Triangle
Loading the math board and drawing, please wait…
2019-10-10 22:14
TriangleInequalityGeometric Construction
This example illustrates the geometric meaning of the triangular inequality. By dragging points A, B, and C, you can observe that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. Key mathematical concepts include triangles, inequalities, and geometric construction. It uses GeoGebra commands such as Segment, Circle, Point, Intersect, and Polygon. Suitable for middle school and above students to learn basic properties of triangles and inequalities.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(C, D) → b
  3. Segment(E, F) → c
  4. Circle(G, a) → c_1
  5. Circle(G, b) → d
  6. Point(d) → H
  7. Circle(H, c) → e
  8. Intersect(c_1, e, 1) → I
  9. Polygon(G, H, I) → pol1, i, g, h