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sequence of triangles, 1st with sides a,b,c, 2nd has sides p-a,p-b,p-c

Source: 1993 Swedish Mathematical Competition p5

April 2, 2021
geometrySequence

Problem Statement

A triangle with sides a,b,ca,b,c and perimeter 2p2p is given. Is possible, a new triangle with sides p−ap-a, p−bp-b, p−cp-c is formed. The process is then repeated with the new triangle. For which original triangles can this process be repeated indefinitely?
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