Triangle Area and Collinearity Determination

Triangle Area and Collinearity Determination
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2015-06-29 01:31
This example demonstrates calculating the area of a triangle using coordinates and determining if three points are collinear. Core concepts include coordinate geometry, vectors, linear equations, and the triangle area formula. It uses GeoGebra commands like Polygon, Vector, Length, and Angle for construction. Suitable for high school mathematics teaching to understand applications of coordinate geometry and vectors.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poligon1, c, a, b
  2. Vector(A, B) → u
  3. Vector(C, B) → v
  4. Length(u) → d
  5. Length(v) → e
  6. Angle(C, B, A) → α