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Orthocenter of a Triangle by jacobestevez17

Orthocenter of a Triangle by jacobestevez17
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2015-06-12 01:42
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 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. Polygon(A, C, B) → poly1, b, a, c
  2. OrthogonalLine(A, b) → d
  3. OrthogonalLine(C, a) → e
  4. OrthogonalLine(B, c) → f
  5. Intersect(d, e) → orthocenter

AI Drawing Prompt Reference

Draw a triangle and construct the altitudes from each vertex to the opposite side, the intersection of these altitudes is the orthocenter of the triangle, label the triangle and orthocenter with distinct colors.
The prompt above was compiled from the original drawing commands and is for reference only.