MathDB

A triangle with sides

a

b

, and

c

is given. Denote by

s

the semiperimeter, that is

s = \frac{a + b + c}{2}

. Construct a triangle with sides

s - a

s - b

, and

s - c

. This process is repeated until a triangle can no longer be constructed with the side lengths given. For which original triangles can this process be repeated indefinitely?

Problem Statement