MathPlotAI Logo MathPlotAI

Orthocenter of a Triangle

Orthocenter of a Triangle
Loading the math board and drawing, please wait…
2018-11-16 00:53
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. Using commands like Segment, OrthogonalLine, Angle, and Intersect, the orthocenter can be found. Suitable for students at the middle school level and above for learning triangle geometry.

GeoGebra Commands & Parameters

  1. Segment(A, C) → f
  2. Segment(C, B) → g
  3. Segment(B, A) → h
  4. OrthogonalLine(A, g) → i
  5. OrthogonalLine(C, h) → j
  6. OrthogonalLine(B, f) → k
  7. Angle(h, j) → α
  8. Angle(h, j) → β
  9. Angle(f, k) → γ
  10. Angle(g, i) → δ
  11. Intersect(i, j) → orthocenter
  12. Intersect(k, f) → E
  13. Point(h) → F
  14. Intersect(i, g) → G
  15. Angle(orthocenter, E, A) → ε
  16. Angle(h, j) → ζ
  17. Angle(h, j) → η

AI Drawing Prompt Reference

Draw a triangle and its three altitudes. The altitudes intersect at a point called the orthocenter. Ensure the triangle is clear and the altitudes are perpendicular to the opposite sides. Construction order: first draw the triangle, then draw each altitude, and finally mark the intersection point as the orthocenter.
The prompt above was compiled from the original drawing commands and is for reference only.