Can you accept the challenge.............................

ABC is a triangular framework of 3 uniform rods each of mass M and length 2L. It is free to rotate in its own plane about a smooth horizontal axis through A which is perpendicular to ABC. If it is released from rest when AB is horizontal and C is above AB. The maximum velocity of C in the subsequent motion is x(ygl(z)^1/2)^1/2.,where g is acceleration due to gravity L is the half length of rod. Then find xy-z

NOTE: Diagram is not given because it will be a part of solution.