Question 1123260
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Certainly nobody can solve the problem if they don't know what the problem is.<br>
Your description is not clear to me.<br>
I think the circle tangent to all four sides of the square is clear enough.<br>
And from your description of the equilateral triangle, I think its base is the bottom edge of the square.<br>
The diagram I get from your description is then like this:<br>
{{{drawing(400,400,-10,10,-10,10,circle(0,0,5),line(-5,-5,5,-5),line(5,-5,5,5),line(5,5,-5,5),line(-5,5,-5,-5),line(-5,-5,0,-5+5*sqrt(3)),line(0,-5+5*sqrt(3),5,-5),locate(0,-5.5,A),locate(3,-2.5,B),locate(5,-5.5,C)
)}}}<br>
But then you talk about a point where the circle square, and triangle all meet... yet they do not all meet anywhere.<br>
My best guess is that the area we are to find is as marked ABC in the diagram.<br>
But I am not inclined to spend any time trying to solve the problem when I don't know if the figure is correct.