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 https://www.geogebra.org/m/Tgt6SKvg - "Transforming Triangle to a Square"- we showed how any triangle can be transformed into a square with 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:
- Click on the red vertex.
- Drag the red vertex to the green point.