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Orthocenter of a Triangle by Sharri Sandler

Orthocenter of a Triangle by Sharri Sandler
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2019-11-14 01:16
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 Polygon, OrthogonalLine, and Segment, the dynamic properties of the orthocenter can be shown. Suitable for middle school and above students to learn triangle geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. OrthogonalLine(A, a) → f
  3. OrthogonalLine(B, b) → g
  4. OrthogonalLine(C, c) → h
  5. Segment(A, B) → i
  6. Segment(B, C) → j
  7. Segment(A, C) → k
  8. Polygon(D, E, F) → t2, f_1, d, e
  9. OrthogonalLine(D, d) → l
  10. OrthogonalLine(F, f_1) → m
  11. OrthogonalLine(E, e) → n
  12. Segment(D, E) → p
  13. Segment(F, E) → q
  14. Segment(D, F) → r
  15. Polygon(G, H, I) → t3, i_1, g_1, h_1
  16. Segment(G, H) → s
  17. Segment(I, G) → t
  18. Segment(I, H) → j_1
  19. OrthogonalLine(G, g_1) → k_1
  20. OrthogonalLine(I, i_1) → l_1
  21. OrthogonalLine(H, h_1) → m_1

AI Drawing Prompt Reference

Draw a triangle and construct the altitudes from each vertex to the opposite side, where the three altitudes intersect at the orthocenter. Start by drawing the triangle's sides, then draw perpendicular lines from each vertex to the opposite side, and finally mark the orthocenter.
The prompt above was compiled from the original drawing commands and is for reference only.