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.