57 P_ABCD-?

In a tangential quadrilateral, the lengths of tangents from a vertex to the incircle are equal. Let AB = 6, BC = 8, CD = 9, and DA = ?. Let the points of tangency divide the sides into segments. From the diagram, it appears that the segments from A are equal, from B are equal, from C are equal, and from D are equal. However, the diagram does not provide enough information to determine the lengths of these segments or the perimeter.