If so, then the distance from z1 to z2 is |z2- z1|= |(i- 1)z1+ 1+i|= , the distance from z1 to i is , and the distance from z2= iz1+ 1+ i to i is . That's all you need to answer this question.
what does "semi-equilateral" mean?then, triangle AMN is :
I have no idea what you mean by this. How do you get a single z from two points? But the word "distinct" certainly is key- if the three points were not distinct, you wouldn't have a triangle!or
I think the key word is DISTINCT . I know that two points to be distinct z must be different from z(bar) or its conjugate.
Any help will be greatly appreciated.