CTK Insights

16 Sep

Areas in Square II

Once in a while an NCTM publication stuns me. They just published solutions to the July 15 problem of finding proportions between areas in a square:

square split into four parts

One solution is absolutely beautiful.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The solution is by dissection of the square into triangles of equal area.

This solution extends to a generalization of the problem wherein E need not be the midpoint of side AD.

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