$1.$ Point A and B lie on the sides of a square, segment AB divides the square into two polygons each of which has an inscribed circle. One of the circles has radius 6 cm while the other one is larger. What is the difference, in cm, between the side length of the square and twice the length of segment AB ?
What must a polygon meet in order for it to have a inscribed circle? I am having trouble in just finding the right figure to work with in this problem, I think I'll have no problem finding the answer after the figure, but complete solutions are welcome