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area of triangle of circumcenters, right trapezoid related

Source: 2003 Argentina OMA L3 p4

June 16, 2020
geometrytrapezoidright triangleCircumcenterarea of a triangle

Problem Statement

The trapezoid ABCDABCD of bases ABAB and CDCD, has ∠A=90o,AB=6,CD=3\angle A = 90^o, AB = 6, CD = 3 and AD=4AD = 4. Let E,G,HE, G, H be the circumcenters of triangles ABC,ACD,ABDABC, ACD, ABD, respectively. Find the area of the triangle EGHEGH.
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