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Altitudes and Orthocenter

Altitudes and Orthocenter
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2016-12-10 10:16
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the altitudes and orthocenter of a triangle. The orthocenter is the point where the three altitudes of a triangle intersect. Using GeoGebra commands like Polygon, OrthogonalLine, and Intersect, this construction visually illustrates the properties of the orthocenter. Suitable for middle school and above students learning triangle geometry.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a triangle ABC, then draw perpendicular lines from points A, B, and C to the opposite sides, and the intersection of these perpendicular lines is the orthocenter D of the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.