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Triangles with Same Perimeter and Area

Triangles with Same Perimeter and Area
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2017-11-06 08:31
TriangleCircleCoordinate GeometryOptimizationGeometric Construction
This example demonstrates the geometric phenomenon of triangles having equal perimeter and area. It involves core math concepts like area, perimeter, continuity, circle, square, and coordinate geometry. Construction highlights include using GeoGebra commands such as IntersectPath, Point, Intersect, Segment, and Circle. Suitable for high school and above learners exploring geometric properties and calculus applications.

GeoGebra Commands & Parameters

  1. IntersectPath(a, f) → b
  2. Point(b) → B
  3. Intersect(xAxis, yAxis) → C
  4. Point(Circle[C, z(B)]) → D
  5. Segment(C, D) → g
  6. Circle(C, x(B)) → c
  7. Circle(D, y(B)) → d
  8. Intersect(c, d, 1) → E
  9. Segment(E, C) → h
  10. Segment(E, D) → i