The cm border for a triangular tail fin of a space vehicle is built from small ceramic rods. Each side of the triangular tail is built using several small rods of equal length. One side of the tail fin must be exactly cm long. So that ceramic rods do not have to be broken to fit the border and to meet aerodynamic constraints, the length of the other two sides must be in a ratio of . What are the lengths of the three sides of the tail fin?