4. let z,z,z be three pairwise distinct complex numbers and t,t,t are non-negative real numbers such that t+t+t=1.prove that complex number z=tz+tz+tz lies inside a triangle with vertices z,z,z or on its boundary

4. let z,z,z be three pairwise distinct complex numbers and t,t,t are

1.	4. let z,z,z be three pairwise distinct complex numbers and t,t,t are non-negative real numbers such that t+t+t=1.prove that complex number z=tz+tz+tz lies inside a triangle with vertices z,z,z or on its boundary
Answer» 4. let z,z,z be three pairwise distinct complex numbers and t,t,t are non-negative real numbers such that t+t+t=1.prove that complex number z=tz+tz+tz lies inside a triangle with vertices z,z,z or on its boundary