I like triples because they allow a wide range of gears without the big steps between rings of a compact chainset or the big steps between sprockets on a wide-range cassette.
That is because I live in a very hilly area with climbs up to 25%, and long descents. I need a wide range of gears.
I have a triple on my Basso which is my bike of choice for the steep stuff. The gears on that are 52/39/30 and 14-28. I ride my Cannondale on less hilly routes with gearing of 53/39 and 13-29.