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Tyler's Pythagorean Triple

Tyler's Pythagorean Triple
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2016-01-09 17:38
TriangleCircleGeometric Construction
This example demonstrates the geometric construction of Pythagorean triples. It involves core math concepts like the Pythagorean theorem, triangle area, incircle, and rational numbers. The construction uses GeoGebra commands such as Point, Intersect, Segment, and Polygon. Suitable for high school mathematics teaching or exploration by geometry enthusiasts.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Segment(A, B) → a
  4. Segment(B, A) → b
  5. Segment(A, C) → c
  6. Segment(C, B) → d
  7. Segment(B, A) → e
  8. Segment(B, C) → f
  9. Segment(A, B) → g
  10. Polygon(A, C, 4) → poly1, a_1, c_1, h, i, D, E
  11. Polygon(C, B, 4) → poly2, c_2, b_1, j, k, F, G
  12. Polygon(B, A, 4) → poly3, b_2, a_2, l, m, H, I
  13. Segment(B, C) → n
  14. Segment(A, B) → p
  15. Segment(B, C) → q
  16. Segment(A, B) → r