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It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
The trapezoid ABCD of bases AB and CD, has angle A = 90 degrees, AB = 6, CD = 3 and AD = 4. Let E, G, H be the circumcenters of triangles ABC, ACD, ABD, respectively. Find the area of the triangle EGH.
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