Orthocenter Exploration of a Right Triangle

Orthocenter Exploration of a Right Triangle
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2018-11-29 23:00
This example demonstrates the orthocenter property of a right triangle, which is the intersection of the three altitudes. Using GeoGebra commands Polygon, OrthogonalLine, and Intersect, a right triangle is constructed and its orthocenter is found. The example involves basic concepts of coordinate geometry and triangles, suitable for middle school and above students to learn geometric construction and orthocenter properties.

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