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The Orthocenter of a Triangle by jmccart5

The Orthocenter of a Triangle by jmccart5
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2016-02-11 05:06
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 like Polygon, OrthogonalLine, and Intersect, the dynamic properties of the orthocenter can be explored. Suitable for middle school and above students to study triangle geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(A, a) → d
  3. OrthogonalLine(C, c) → e
  4. OrthogonalLine(B, b) → f
  5. Intersect(e, d) → D

AI Drawing Prompt Reference

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