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Right Triangle Demo

Right Triangle Demo
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2019-12-16 07:14
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties and calculation methods of right triangles, involving core concepts like area, perimeter, inequalities, coordinate geometry, and geometric transformations. It uses commands and objects such as Intersect, Ray, Point, OrthogonalLine, Polygon, Segment, Circle, CircleArc, and Angle in GeoGebra construction. Suitable for high school mathematics teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Ray(B, E) → e
  3. Point(e) → C
  4. OrthogonalLine(C, xAxis) → f
  5. Intersect(f, xAxis) → D
  6. Polygon(B, D, 4) → A, d, d_1, e_1, f_1, E_1, F
  7. Point(e) → G
  8. Segment(B, G) → p
  9. Circle(B, t) → g
  10. Intersect(g, yAxis, 2) → H
  11. Intersect(g, xAxis, 2) → I
  12. CircleArc(B, I, H) → h
  13. Segment(H, B) → i
  14. Segment(B, I) → j
  15. Circle(B, c) → q
  16. Intersect(q, p, 1) → J
  17. Circle(J, a) → c_1
  18. Intersect(c_1, p, 2) → K
  19. Circle(B, b) → g_1
  20. Intersect(c_1, g_1, 2) → L
  21. Segment(B, J) → l
  22. Segment(J, K) → m
  23. Segment(K, G) → n
  24. Segment(B, L) → a_1
  25. Segment(L, J) → b_1
  26. Polygon(B, J, L) → poly1, l_1, b_2, j_1
  27. Angle(B, L, J) → α

AI Drawing Prompt Reference

Draw a right triangle with perpendicular sides B and D, and a line segment from B to G. Use a circle centered at B to intersect the axes at points H, I, and J, then construct arcs and segments to form a right triangle and related circles.
The prompt above was compiled from the original drawing commands and is for reference only.