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.

Guest Dec 30, 2020

#3**+2 **

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 **

jugoslav Dec 31, 2020