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Area/Perimeter Example

Area/Perimeter Example
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2015-03-26 10:38
TrianglePolygonOptimization
This example demonstrates how to construct an isosceles triangle and calculate its area and perimeter using GeoGebra. Core math concepts include area, perimeter, isosceles triangles, parametric curves, and random experiments. Construction highlights the use of commands like Point, Polygon, Dilate, Perimeter, and PointIn. Suitable for middle school and above students learning geometric constructions and optimization problems.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Polygon(A, B, C, D) → poly1, a, b, c, d
  3. Dilate(A, 2, E) → A'
  4. Dilate(B, 2, E) → B'
  5. Dilate(C, 2, E) → C'
  6. Dilate(D, 2, E) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. Perimeter(poly1) → perimeterpoly1
  9. PointIn(poly1) → Pointpoly1_1
  10. Perimeter(poly1') → perimeterpoly1'
  11. PointIn(poly1') → Pointpoly1'_1
  12. PointIn(poly1) → Pointpoly1
  13. PointIn(poly1') → Pointpoly1'

AI Drawing Prompt Reference

Draw an isosceles triangle ABC, then enlarge it by a factor of 2 to get A'B'C'. Calculate and show the perimeters of both triangles. Place a point inside each triangle.
The prompt above was compiled from the original drawing commands and is for reference only.