Thursday, March 1, 2012

Square Within a Square

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. 
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Exercises

  1. Prove that the inner quadrilateral is a square.
  2. Find the relationship between the area of the inner quadrilateral the area of the square. 
Download Applet

Posted by UP NISMED at 8:55 PM
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2 comments:

  1. ØisteinMarch 1, 2012 at 9:24 PM

    Funny, I made the answer to 2 in GeoGebra earlier :)

    http://www.geogebra.org/en/upload/files/Norwegian/oisteing/kvadratoppgave.html

    ReplyDelete
  2. UP NISMEDMarch 4, 2012 at 9:21 PM

    I have created the same applet 2 years ago here:

    http://geogebracentral.blogspot.com/2010/11/square-problem.html

    ReplyDelete

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