THE TRIANGLE was only ever used successfully in the NBA by Phil Jackson with MJ (and later at the Lakers with Kobe) and it took several years to work out. Some elements of the triangle could benefit the Kings talent as it stands based on this Wikipedia summary:
The Triangle Offense, also known as the Triple-Post offense, is an offensive strategy in basketball. Its basic ideas were initially established by Hall of Fame coach Sam Barry at the University of Southern California. His system was later refined by former Kansas State University head basketball coach and current Los Angeles Lakers consultant Tex Winter, who played for Barry in the late 1940s.
The system's most important feature is the sideline triangle created between the center, who stands at the low post; the forward, at the wing, and the guard at the corner. The team's other guard stands at the top of the key and the weak-side forward is on the weak-side high post — together forming the "two-man game".
The goal of the offense is to fill those five spots, which creates good spacing between players and allows each one to pass to four teammates. Every pass and cut has a purpose and everything is dictated by the defense.
Full text about details of the Triangle Offense can be found here:
http://en.wikipedia.org/wiki/Triangle_offense