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Pythagorean Identity Demo

Pythagorean Identity Demo
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2016-04-02 07:29
TriangleVectorTrigonometryGeometric Construction
In collections Trigonometric Identities
This example dynamically demonstrates the Pythagorean theorem using a right triangle, visually illustrating its geometric meaning. It involves core math concepts like the Pythagorean theorem, trigonometric functions, and vector operations. Constructed with GeoGebra commands such as Center, Point, Segment, Intersect, Polygon, Angle, Vector, Distance. Suitable for high school mathematics teaching and learning to enhance understanding of the Pythagorean theorem and trigonometric relationships.

GeoGebra Commands & Parameters

  1. Center(c) → A
  2. Point(c) → B
  3. Segment(A, B) → a
  4. Intersect(d, y = 0) → C
  5. Polygon(A, C, B) → poly1, b_1, a_1, c_1
  6. Angle(B, C, A) → α
  7. Angle(D, A, B) → θ
  8. Vector(A, C) → u
  9. Vector(C, B) → v
  10. Distance(A, C) → distanceAC
  11. Distance(C, B) → distanceCB
  12. Distance(A, B) → distanceAB