There are two circles of equal radius 1 that are centered at points A and B, respectively, and externally tangent to each other. A tangent DC is drawn to both circles, and a square EFGH fits between the circles such that points G and H lie on the line segment DC.
Find the side length of the square.
+1639 There are two circles of equal radius 1 that are centered at points A and B, respectively, and externally tangent to each other. A tangent DC is drawn to both circles, and a square EFGH fits between the circles such that points G and H lie on the line segment DC.
Find the side length of the square.
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∠DNM = ∠EDM = tan-1(1/2)
DE = sin∠DNM * DN
EH = sin∠EDM * DE
The side length of the square, GH = 2/5 units 
