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Demonstration of Triangle's Orthocenter by 24659

Demonstration of Triangle's Orthocenter by 24659
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2017-12-02 02:03
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties and construction method of a triangle's orthocenter. It involves core math concepts like perpendicular lines, intersection points, polygons, and analytical geometry. The construction uses GeoGebra commands and objects such as Polygon, OrthogonalLine, and Intersect as summarized. Suitable for high school mathematics teaching to understand triangle geometry and construction techniques.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a triangle ABC, then draw three perpendicular lines f, g, and h from points A, B, and C to sides BC, AC, and AB respectively. Finally, find the intersection point D of lines g and h, which is the orthocenter of triangle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.