there are not enough letters to make a 9 letter word
Algebraic is the word which can be made from these letters.
You can make several seven letter words with these letters. They include:AcetoneCheapenCheetahHatchet
The maximum sized word you can make from those letters is 6 letters.
testiest
"HISTORY:
uplinks
tattoo
sextets
There is no 7-letter word using these letters, but there are these two 6-letter words:adroitdiatom
The letters spell the 9 letter word carambola. It is a tropical fruit.
The three letter word you can make is ale. You can also make the word key