triumph vs checkmate

triumph and checkmate both are nouns.

Word	Noun	Adjective	Verb	Adverb
triumph	Yes	No	Yes	No
checkmate	Yes	No	Yes	No

As nouns, checkmate is a hyponym of triumph; that is, checkmate is a word with a more specific, narrower meaning than triumph:

triumph (noun)	checkmate (noun)
a successful ending of a struggle or contest	a chess move constituting an inescapable and indefensible attack on the opponent's king
the exultation of victory	complete victory

triumph (verb)	checkmate (verb)
dwell on with satisfaction	place an opponent's king under an attack from which it cannot escape and thus ending the game
to express great joy
prove superior
be ecstatic with joy