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Another Form of Pythagorean Theorem

Another Form of Pythagorean Theorem
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2019-03-20 11:58
Coordinate GeometryTransformationGeometric Construction
This example demonstrates an alternative form of the Pythagorean theorem and its geometric significance. It involves core mathematical concepts such as the Pythagorean theorem, geometric transformations, and coordinate geometry. The construction utilizes GeoGebra commands like Polygon, LineBisector, Intersect, Circle, Point, and Segment. It is suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 6) → poly1, f, F, g, h, i, j, k, C, D, E
  2. LineBisector(F, A) → l
  3. LineBisector(E, D) → m
  4. Intersect(l, m) → G
  5. Circle(G, D) → c
  6. Point(c) → H
  7. Segment(F, C) → q
  8. Segment(H, E) → n
  9. Segment(H, F) → p
  10. Segment(H, A) → r
  11. Segment(H, B) → s
  12. Segment(H, C) → t
  13. Segment(H, D) → a