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Pythagorean Theorem Applies to All Right Triangles

Pythagorean Theorem Applies to All Right Triangles
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2017-04-26 10:37
TriangleGeometric Construction
This example demonstrates the universality of the Pythagorean Theorem in all right triangles. Key math concepts include the Pythagorean Theorem and right triangles. Construction involves GeoGebra commands like Point, Polygon, Dilate, and Segment. Suitable for middle school and above students learning geometric theorems.

GeoGebra Commands & Parameters

  1. Point(xAxis) → C
  2. Polygon(A, B, C) → poly1, b, a, c
  3. Dilate(A, d_1, D) → A'
  4. Dilate(B, d_1, D) → B'
  5. Dilate(C, d_1, D) → C'
  6. Polygon(A', B', C') → poly1', e, d, f
  7. Point(yAxis) → E
  8. Point(Circle[E, a^(2)]) → F
  9. Segment(E, F) → g_1
  10. Point(Circle[F, b^(2)]) → G
  11. Segment(F, G) → g
  12. Point(yAxis) → H
  13. Point(Circle[H, c^(2)]) → I
  14. Segment(H, I) → h
  15. Point(yAxis) → J
  16. Point(Circle[J, d^(2)]) → K
  17. Segment(J, K) → i
  18. Point(Circle[K, e^(2)]) → L
  19. Segment(K, L) → j
  20. Point(yAxis) → M
  21. Point(Circle[M, f^(2)]) → N
  22. Segment(M, N) → k