For barre cords such as F and B, is there a such thing as a triad for them?

when you make a F or B or A etc barrechord, your not just playing those notes on their own

For instance, if you were to play a C barrechord, you could call it C major barrechord.
This would imply its a basic triad.

so if you play a C barrechord, you are playing a triad already
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