>>762
r=4/√(15)
https://i.imgur.com/jaKy6PU.png


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In[1]:= Sqrt[2^2-(1/2)^2]
Sqrt[15]
Out[1]= --------
2
In[2]:= Solve[Sqrt[15]/2 - (1/2)Sqrt[-1+4r^2] == r,r]
4
Out[2]= {{r -> --------}}
Sqrt[15]