Another Form of Pythagoras Theorem

Another Form of Pythagoras Theorem
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2019-03-20 02:27
This example demonstrates an alternative form of the Pythagorean theorem, visually illustrating the relationship between the sides of a right triangle through geometric constructions. Key mathematical concepts include right triangles, Pythagorean theorem, and geometric construction. The construction utilizes GeoGebra commands and objects such as Polygon, Segment, Intersect, Circle, Point, and PointIn. Suitable for middle school students and above to learn and understand geometric proofs and applications of the Pythagorean theorem.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Segment(D, B) → k
  3. Segment(C, A) → j
  4. Intersect(j, k) → E
  5. Circle(E, B) → c
  6. Point(c) → F
  7. Segment(F, C) → p
  8. Segment(F, D) → n
  9. Segment(F, A) → m
  10. Segment(F, B) → l
  11. PointIn(poly1) → Noktapoly1_1
  12. PointIn(poly1) → Noktapoly1_2
  13. PointIn(poly1) → Noktapoly1_3
  14. PointIn(poly1) → Noktapoly1_4
  15. PointIn(poly1) → Noktapoly1
  16. Segment(C, A) → q