In the accompanying diagram, the area of square $$\(A B C D\)$$ is $$\(600, E\)$$ is the midpoint of $$\(\overline{A B}\)$$ , $$\(C E G H\)$$ is a square, and points $$\(A, F, D\)$$, and $$\(H\)$$ are collinear. What is the area of $$\(\triangle D G H\)$$, shown shaded?

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