*a*√2,

*a*√2,

*a*√2,

*a*√2,

*b*,

*b*,

*b*and

*b*respectively in that order. Each of

*a*,

*b*and

*r*are positive integers, where

*r*is the radius of the circumcircle.

Analytically determine:

(i) The minimum value of

*a*with

*a*<

*b*

(ii) The minimum value of

*b*with

*a*>

*b*