Yes, facet is a Scrabble word!
...and is worth 10 points in Scrabble, and 11 points in Words with Friends
facet
Noun
1. A distinct feature or element in a problem
2. A smooth surface (as of a bone or cut gemstone)
What Scrabble words can I make with the letters in facet?
4 Letter Words
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3 Letter Words
2 Letter Words