I am going to assume that this is the Brownie level Making Friends try-it badge, which is triangular in shape with a brown edge and has a cat and mouse design in the center. If so, then this is an earned badge, so it goes on the front of the vest, on the (girl's) right side. Badges are generally started on the hemline, lined up in a row. Move up, row by row, as you add additional badges. If you run out of room on the right side, you can place some on the left side, again starting at the hemline and moving up. For sashes, place the badge on the front, starting at the bottom and working up, row by row. If your Making Friends patch does not match the description of the Brownie badge, then perhaps it is a fun patch? Most Making Friends fun patches have the words "Making Friends" on it. If that is the case, then as a fun patch, it would be placed anywhere on the back of the vest or sash.