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triangle coveved by 3 squares - All-Russian MO 1997 Regional (R4) 8.5

Source:

September 23, 2024
geometrySquaresgeometric inequality

Problem Statement

Segments ABAB, BCBC and CACA are, respectively, diagonals of squares K1K_1, K2K_2, K3K3. Prove that if triangle ABCABC is acute, then it completely covered by squares K1K_1, K2K_2 and K3K_3.
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