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AIME 1987 Problem 15

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Squares S1S_1 and S2S_2 are inscribed in right triangle ABCABC, as shown in the figures below. Find AC+CBAC + CB if area (S1)=441(S_1) = 441 and area (S2)=440(S_2) = 440.

Dataset text AIME 1983 to 2026. Quoted with source.

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