MathPlotAI Logo MathPlotAI

Pythagorean Theorem Demonstration by Line Merethe Fagereng

Pythagorean Theorem Demonstration by Line Merethe Fagereng
Loading the math board and drawing, please wait…
2019-02-20 02:17
TriangleAngleFunctionGeometric Construction
This example demonstrates the Pythagorean Theorem by constructing a right triangle and its side relationships to verify the theorem. Key math concepts include the Pythagorean Theorem, right triangles, and side length relationships. Construction involves commands/objects like Rotate, Angle, Ray, Point, Segment, Polygon, LaTeX, and Name in GeoGebra. Suitable for middle school and above students for visual understanding and verification of the theorem.

GeoGebra Commands & Parameters

  1. Rotate(A_1, 90°, A) → A'
  2. Angle(A_1, A, A') → α
  3. Ray(A, A') → a_1
  4. Ray(A, A_1) → b_1
  5. Point(a_1) → C
  6. Point(b_1) → B
  7. Segment(C, A) → katet_1
  8. Segment(A, B) → katet_2
  9. Segment(B, C) → hypotenus
  10. Polygon(A, C, 4) → Areal_1, f, g, h, i, E, F
  11. Polygon(B, A, 4) → Areal_2, j, k, l, m, G, H
  12. Polygon(C, B, 4) → Areal_3, n, p, q, r, I, J
  13. LaTeX(Areal_1, true, true) → tekst1
  14. LaTeX(Areal_2, true, true) → tekst2
  15. LaTeX(Areal_3, true, true) → tekst3
  16. LaTeX(("Sum Areal 1 og 2 = " * SumAreal), true, true) → tekst4
  17. Name(tekst4) → A1
  18. Polygon(A, B, C) → t1, c, a, b