Construct All Right Triangles

Construct All Right Triangles
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2012-07-02 05:33
This example demonstrates how to construct all right triangles with one vertex fixed and the other two sides forming a Pythagorean triple. Key mathematical concepts include right triangles, Pythagorean theorem, and Pythagorean triples. Using GeoGebra commands such as Point, Polygon, and Distance, dynamic construction of right triangles is achieved. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Polygon(A, B, C) → poly1, c, a, b
  3. Distance(C, B) → distanceCB
  4. Distance(C, A) → distanceCA
  5. Distance(A, B) → distanceAB