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A line is drawn from each corner of a large square to the point of trisection of the opposite side, as in the diagram.

If the shaded square has area 1, what is the area of the large square?

 

 Jun 30, 2020
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A side of a purple square is 1

 

Angle    β = arctan ( 2 / 3 ) 

 

Square  side    a =[1 / cos( β )] * 3   smiley

 Jun 30, 2020

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