Transforming a Polygon to a Triangle with Equal Area

Given an arbitrary convex polygon we construct a triangle with an area equal to the area of the polygon. In a previous material - "Transforming Triangle to a Square" we showed how any triangle can be transformed to a square with an equal area. The combination of these two constructions shows how to square any convex polygon. Repeat the following two steps until the triangle is constructed:
  1. Click on the red vertex .
  2. Drag the red vertex to the green point.