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Orthocenter of a Triangle by MevrouwFisscher

Orthocenter of a Triangle by MevrouwFisscher
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2020-03-06 17:51
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. Using GeoGebra commands such as Segment, OrthogonalLine, and Intersect, the orthocenter can be constructed. Suitable for students at the middle school level and above to learn about triangle properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. OrthogonalLine(A, g) → i
  5. OrthogonalLine(C, f) → j
  6. OrthogonalLine(B, h) → k
  7. Intersect(i, j) → ORTHOCENTRE
  8. OrthogonalLine(A, k) → l
  9. OrthogonalLine(A, j) → m
  10. Intersect(k, l) → G
  11. Intersect(j, m) → H
  12. OrthogonalLine(B, i) → n
  13. Intersect(i, n) → I
  14. Segment(C, I) → p
  15. Segment(C, G) → q
  16. Segment(B, H) → r
  17. Angle(i, g) → α
  18. Angle(j, f) → β
  19. Angle(k, h) → γ
  20. Polygon(A, B, C) → driehoek1, c, a, b

AI Drawing Prompt Reference

Draw a triangle and label its three altitudes, with their intersection point being the orthocenter. Then, draw perpendicular lines from the orthocenter to each side of the triangle, finding the intersection points. Finally, connect these intersection points with the vertices of the triangle to form three smaller triangles, and label the interior angles of each smaller triangle.
The prompt above was compiled from the original drawing commands and is for reference only.