If abc is three sides of the triangle abC, AB satisfies the relation that the absolute value of a-3+the square of (b-4) equals zero, C is the largest integer solution of the inequality group X/3-3 is greater than X-4, and 2X+3 is less than 2x+ 1. Find the perimeter of triangle ABC? ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !