In the plane, consider a circle with center S and radius 1. Let ABC be an arbitrary triangle having this circle as its incircle, and assume that SA≤SB≤SC. Find the locus of
a.) all vertices A of such triangles;
b.) all vertices B of such triangles;
c.) all vertices C of such triangles. geometrycircleLocusLocus problemsIMO LonglistIMO Shortlist