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Triangle - Base and Height

Triangle - Base and Height
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2018-02-26 17:30
TriangleCoordinate GeometryGeometric Construction
In collections Folding paper, doing geometry figures
This example demonstrates how to draw a triangle's base and height using GeoGebra. Key math concepts include coordinate geometry, geometric construction, and triangle area calculation. Construction highlights involve commands like Polygon, Rotate, Segment, CircleArc, Line, AngularBisector, Intersect, and Midpoint. Suitable for high school students learning triangle properties and constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, C, D, B) → vierhoek1, a, c, d, b
  2. Polygon(B, A, C, E) → vierhoek2, b_1, a_1, c_1, e
  3. Polygon(B, E, D) → driehoek1, d_1, b_2, e_1
  4. Rotate(B, (((s - 1) * 180))°, d_1) → B'
  5. Rotate(E, (((s - 1) * 180))°, d_1) → E'
  6. Rotate(D, (((s - 1) * 180))°, d_1) → D'
  7. Polygon(B', E', D') → driehoek1', d', b', e'
  8. Rotate(B, 180°, d_1) → B'_1
  9. Rotate(E, 180°, d_1) → E'_1
  10. Rotate(D, 180°, d_1) → D'_1
  11. Polygon(B'_1, E'_1, D'_1) → driehoek1'_1, d'_1, b'_1, e'_1
  12. Segment(B, E) → f
  13. Rotate(D, -90°, B) → DD
  14. CircleArc(B, DD, D) → g
  15. Segment(A, E) → h
  16. Rotate(C, -135°, E) → C'
  17. CircleArc(E, C', C, xOyPlane) → k
  18. Polygon(A, C, E) → driehoek2, e_2, a_2, c_2
  19. Rotate(A, (((s - 3) * 180))°, h) → A'
  20. Rotate(C, -180°, h) → C'_1
  21. Rotate(E, (((s - 3) * (-180)))°, h) → E'_2
  22. Polygon(A, C'_1, E) → driehoek2', p, q, t
  23. Polygon(D'_1, A, E) → driehoek3, e_3, d'_2, a_3
  24. Polygon(A, C, E, DD) → vierhoek3, i, j, l, m
  25. Line(D'_1, E) → n
  26. AngularBisector(A, B, E) → r
  27. Intersect(p, b'_1) → F
  28. Segment(F, E) → g_1
  29. Segment(DD, F) → f_1
  30. Segment(B, D) → h_1
  31. Segment(D, E) → i_1
  32. Segment(A, C) → j_1
  33. Segment(C, E) → k_1
  34. Midpoint(A, E) → BB
  35. Polygon(A, BB, B) → driehoek4, b_3, a_4, bb

AI Drawing Prompt Reference

Draw a triangle's base and height to demonstrate coordinate geometry and geometric construction. Rotate the base and height, draw perpendicular and angle bisectors, and mark midpoints and intersections. Connect key points to form multiple triangles and quadrilaterals, clearly showing the triangle area calculation process.
The prompt above was compiled from the original drawing commands and is for reference only.