Temperatures fluctuate in your house by time of day and time of the year as well as outside weather. It's recommended to have a heater so your aquarium water does not drop below 75 degrees (which is the minimum, still a bit cold for a tropical fish).
I would recommend getting an internal thermometer, one that goes in the water not on the outside of the tank, to see what your aquarium water temp is during the day with the light on and during the night when the light is off. This will help you determine if you need a heater.. more than likely you do just because of the temperature fluctuation.