A circle k=(S,r) is given and a hexagon AA′BB′CC′ inscribed in it. The lengths of sides of the hexagon satisfy AA′=A′B,BB′=B′C,CC′=C′A. Prove that the area P of triangle ABC is not greater than the area P′ of triangle A′B′C′. When does P=P′ hold? geometrycircumcircleincenterangle bisectorgeometry unsolved