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NL-NWO 1992 Problem 3

    Consider the configuration of six squares as shown on the picture. Prove that the sum of the area of the three outer squares ( I,III,II and IIIIII ) equals three times the sum of the areas of the three inner squares ( IV,VIV,V and VIVI ).

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    configuration.JPG

    Dataset text AI-MO AoPS. Quoted with source.

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