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Orthocenter

Orthocenter
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2018-02-03 04:22
TriangleCoordinate GeometryGeometric Construction
In collections Geometry Review
This example demonstrates the geometric properties and construction method of the orthocenter in a triangle. Key math concepts include altitudes, orthocenter, and geometric construction. It uses commands like Polygon, OrthogonalLine, and Intersect to draw the triangle, altitudes, and find the orthocenter. Suitable for high school mathematics education and understanding triangle geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. OrthogonalLine(B, b) → f
  3. OrthogonalLine(A, a) → g
  4. OrthogonalLine(C, c) → h
  5. Intersect(f, g) → Orthocenter

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