Semicircles
In a rectangle with sides of 4cm and 8cm, there are two different semicircles, each of which has its endpoints at its adjacent vertices and touches the opposite side.
Construct a square such that its two vertices lie on one semicircle, the remaining two on the other, and its sides are parallel to the sides of the rectangle.
Construct a square such that its two vertices lie on one semicircle, the remaining two on the other, and its sides are parallel to the sides of the rectangle.
Correct answer:

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