Transforming a Polygon to a Triangle with Equal Area
- Irina Boyadzhiev
Given an arbitrary convex polygon we construct a triangle with an area equal to the area of the polygon. In a previous material http://tube.geogebra.org/student/m1042559 - "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:
- Click on the red vertex .
- Drag the red vertex to the green point.