kurz
short
Describes something of small spatial length or extent. The opposite of 'lang' (long).
Im Sommer trage ich gerne kurze Hosen.
In summer, I like wearing short pants.

short / brief
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short
Describes something of small spatial length or extent. The opposite of 'lang' (long).
Im Sommer trage ich gerne kurze Hosen.
In summer, I like wearing short pants.

The adjective 'kurz' (short/brief) belongs to a word family. Related words are the verb 'kürzen' (to shorten something) and the noun 'die Kürze' (the quality of being short).
Kannst du bitte den Text ein wenig kürzen?
Can you please shorten the text a little?
'Kurz' can be used as an adverb without changing form. It then means “for a short time” and modifies a verb.
Warte bitte, ich muss kurz telefonieren.
Please wait; I need to make a quick phone call.
Whether 'kurz' describes spatial length or duration in time can be recognized from the noun it accompanies. A 'kurzer Weg' (short route) refers to distance, while a 'kurze Pause' (brief break) refers to time.
Zum Glück war es nur ein kurzer Weg bis zum Bahnhof.
Fortunately, it was only a short walk to the train station.
When referring to time, 'kurz' (brief/short) is frequently combined with nouns such as 'Moment' (moment), 'Augenblick' (instant), 'Gespräch' (conversation), or 'Pause' (break).
Haben Sie einen kurzen Moment Zeit für mich?
Do you have a brief moment for me?
'Kurz' is often placed directly before temporal prepositions such as 'vor' (before), 'nach' (after), or 'seit' (since). It emphasizes that the time interval is very small.
Wir sind kurz nach dem Regen angekommen.
We arrived shortly after the rain.
The expression 'in Kürze' is a fixed phrase and a more formal way of saying “soon.” Here, the noun form 'Kürze' is used.
Die Ergebnisse der Prüfung werden in Kürze bekannt gegeben.
The exam results will be announced shortly.
The idiom 'zu kurz kommen' means that a person or thing is neglected or does not get enough attention. The subject is the person or thing that is being neglected.
Bei all dem Stress kommt der Schlaf oft zu kurz.
With all the stress, sleep is often neglected.
When a person 'kurz angebunden ist', they answer very briefly and tersely. This often indicates stress, hurry, or a bad mood.
Er war am Telefon sehr kurz angebunden und hat schnell aufgelegt.
He was very curt on the phone and quickly hung up.
long
'lang' and 'kurz' are opposites when it comes to length or duration. You use 'lang' when something has a lot of spatial length or lasts a long time. You use 'kurz' when something has little length or lasts only a short time. So both words can be used with things like routes, hair, texts, conversations, or films. The context is important: a 'langer Brief' (long letter) has a lot of text, while a 'kurzer Besuch' (brief visit) does not last long.

Vor der Reise schreibt Tom nur eine kurze Nachricht an seine Eltern.
Before the trip, Tom writes only a short message to his parents.
Nach dem Unterricht wartet Lena auf den langen Bus nach Hause.
After class, Lena waits for the long bus ride home.