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ASU 023 All Russian MO 1962 10.2 max triangle area

Source:

June 17, 2019
inequalitiesgeometryareasmaximum

Problem Statement

What maximal area can have a triangle if its sides a,b,ca,b,c satisfy inequality 0≤a≤1≤b≤2≤c≤30\le a\le 1\le b\le 2\le c\le 3 ?
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