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Find the minimal value of b - ILL 1990 COL1

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September 18, 2010
geometryTrianglesanglesminimizationIMO ShortlistIMO Longlist

Problem Statement

Given the condition that there exist exactly 19901990 triangles ABCABC with integral side-lengths satisfying the following conditions: (i) ∠ABC=12∠BAC;\angle ABC =\frac 12 \angle BAC; (ii) AC=b.AC = b. Find the minimal value of b.b.
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