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Medians and Altitudes of a Triangle

Medians and Altitudes of a Triangle
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2014-12-16 23:17
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the medians and altitudes of a triangle. Key mathematical concepts include medians and altitudes of a triangle. Using GeoGebra commands such as Polygon, OrthogonalLine, Intersect, Segment, Midpoint, Angle, the construction of medians and altitudes is illustrated. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(A, a) → d
  3. Intersect(a, d) → D
  4. Segment(A, D) → e
  5. Midpoint(a) → E
  6. Segment(A, E) → f
  7. Angle(C, D, A) → α
  8. Segment(B, E) → g
  9. Segment(E, C) → h

AI Drawing Prompt Reference

Draw a triangle ABC, then draw line segments from each vertex to the midpoint of the opposite side, which are the medians of the triangle. Next, draw perpendicular line segments from each vertex to the opposite side, which are the altitudes of the triangle. Finally, measure the size of angle CDA.
The prompt above was compiled from the original drawing commands and is for reference only.