Given a square with side length a and two pairs of parallel segments, find the area of the shaded square. You can move point B to change the size of the square or point A to change the size of the inner quadrilateral.
Exercises
- Prove that the inner quadrilateral is a square.
- Find the relationship between the area of the inner quadrilateral the area of the square.
Funny, I made the answer to 2 in GeoGebra earlier :)
ReplyDeletehttp://www.geogebra.org/en/upload/files/Norwegian/oisteing/kvadratoppgave.html
I have created the same applet 2 years ago here:
ReplyDeletehttp://geogebracentral.blogspot.com/2010/11/square-problem.html