MathDB

5

Part of 1993 Swedish Mathematical Competition

Problems(1)

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

Source: 1993 Swedish Mathematical Competition p5

4/2/2021
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?
geometrySequence