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min <ACP when P lies on base AB of isosceles ABC with AP/PB=1/2

Source: Netherlands - Dutch NMO 1968 p1

February 1, 2023
geometrygeometric inequalityisoscelesratio

Problem Statement

On the base ABAB of the isosceles triangle ABCABC, lies the point PP such that AP:PB=1:2AP : PB = 1 : 2. Determine the minimum of ∠ACP\angle ACP.
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