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Orthocenter by Josh Rollins

Orthocenter by Josh Rollins
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2017-05-11 01:35
TriangleCoordinate GeometryGeometric Construction
In collections Centers of Triangles
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. Using GeoGebra commands 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(B, h) → j
  6. OrthogonalLine(C, f) → k
  7. Intersect(i, j) → D

AI Drawing Prompt Reference

Draw a triangle ABC. Then, construct a perpendicular line from point A to side BC, a perpendicular line from point B to side AC, and a perpendicular line from point C to side AB. The intersection of these three perpendicular lines is the orthocenter of triangle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.