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Area of a Triangle with Lattice Vertices

Area of a Triangle with Lattice Vertices
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2016-04-04 01:48
TriangleVectorCoordinate GeometryGeometric Construction
This example demonstrates how to calculate the area of a triangle with vertices on a lattice (points with integer coordinates). Key math concepts include vectors, orthogonal vectors, coordinate geometry, and the triangle area formula. Construction highlights the use of GeoGebra commands like Polygon, Vector, and OrthogonalVector to build the triangle and vectors, followed by coordinate-based area calculation. Suitable for high school mathematics instruction and geometric construction practice.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → polígono1, c, a, b
  2. Vector(A, B) → u
  3. Vector(A, C) → v
  4. OrthogonalVector(v) → w

AI Drawing Prompt Reference

Draw a triangle with vertices at lattice points to demonstrate area calculation using vectors. First, draw the triangle, then create vectors from two vertices, find the orthogonal vector of one of them, and use these vectors to illustrate the area calculation process.
The prompt above was compiled from the original drawing commands and is for reference only.