Orthocenter of a Triangle by aujoe20

Orthocenter of a Triangle by aujoe20
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2017-10-28 00:09
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 for geometric construction.

GeoGebra Commands & Parameters

  1. Segment(D, E) → f
  2. Segment(E, F) → g
  3. Segment(F, D) → h
  4. OrthogonalLine(D, g) → i
  5. OrthogonalLine(F, f) → j
  6. OrthogonalLine(E, h) → k
  7. Intersect(i, j) → O

AI Drawing Prompt Reference

Draw a triangle ABC, then draw perpendicular lines from each vertex to the opposite side. The intersection of these perpendicular lines is the orthocenter O of the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.