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Right Triangle - Whole Numbers

Right Triangle - Whole Numbers
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2019-05-17 16:13
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the construction of a right triangle with whole number sides. Key mathematical concepts include geometry, integers, and arithmetic mean. Using GeoGebra commands such as Intersect, Line, Circle, and Polygon, a right triangle can be constructed. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Line(A, xAxis) → f
  3. Line(A, yAxis) → g
  4. Circle(A, a) → c
  5. Intersect(c, f) → B, C
  6. Circle(A, b) → d
  7. Intersect(d, g) → D, E
  8. Polygon(C, A, E) → t1, e, c_1, a_1
  9. Circle(E, a) → h
  10. Intersect(h, g, 2) → F
  11. Line(F, f) → i
  12. Circle(F, b) → k
  13. Intersect(k, i, 2) → G
  14. Polygon(E, F, G) → t2, g_1, e_1, f_1
  15. Circle(C, b) → p
  16. Intersect(p, f, 2) → H
  17. OrthogonalLine(H, f) → j
  18. Circle(H, a) → q
  19. Intersect(q, j, 2) → I
  20. Polygon(C, H, I) → t3, i_1, c_2, h_1
  21. Intersect(i, j) → J
  22. Polygon(G, I, J) → t4, j_1, g_2, i_2
  23. Angle(C, A, E) → α