MathDB
Triangle inequality

Source: RMO 1990 Problem 5

October 14, 2005
inequalitiesgeometrytriangle inequality

Problem Statement

PP is any point inside a triangle ABCABC. The perimeter of the triangle AB+BC+Ca=2sAB + BC + Ca = 2s. Prove that s<AP+BP+CP<2ss < AP +BP +CP < 2s.
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