A triangles which tend to an equilateral triangle
- Author:
- Idan Tal
- Topic:
- Triangles
A triangles which tend to an equilateral triangle
Theapplet presents the process of creating an infinite sequence of triangles
inscribed in a circlebythe angle bisectors with the circle that circumscribes the triangle.Uponthe completion of the dynamic process; areas, perimeters and lengths of radii
of the inscribed circles tend to a limit in a monotonous manner . At the
end an equilateral triangle is created. In every stage, the angles
of the triangle, area, perimeter and standard deviation of angles, are shown
on the screen.