Square and Inscribed Equilateral Triangle

 

 

 

Given square WXYX and equilateral triangle ABZ, find the ratio of the areas of ∆BYZ  and  ∆ABX.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Hint?  Or,  how about a GSP sketch?      If desperate,  see one solution.

 


 

Extension/alternative:    Using geometry, show that

 

         Area triangle AXB =  Area triangle AWZ  +  Area triangle BYZ

 

Hint?    See  GSP Sketch.

 


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