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Medial Polygons

Take any triangle ABC. Construct a triangle connecting the three midpoints of the sides, which is called the medial triangle. Investigate the relationships (perimeter and area) between the medial triangle and the original triangle. What conjectures can you make? Can you prove them?


Explore the above idea using various polygons. Include convex and nonconvex polygons in your explorations.

 Related External Resources

The Sierpinski Triangle [ java applet ]
This java applet constructs medial triangles inside an equilateral triangle in the number of iterations you specify.

Fractals in Pascal's Triangle [ acrobat pdf ]
This lesson plan examines coloring patterns in Pascal's triangle that generate Sierpinski's gasket.

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