die Hand
hand
The part of the body at the end of the arm that is used for grasping and feeling and has five fingers.
Zur Begrüßung reichte er mir die Hand.
As a greeting, he offered me his hand.

hand
Loading your saved state.
hand
The part of the body at the end of the arm that is used for grasping and feeling and has five fingers.
Zur Begrüßung reichte er mir die Hand.
As a greeting, he offered me his hand.

'Hand' (hand) is a very productive base word in German. It forms many compound nouns such as 'Handschuh' (glove), 'Handtuch' (towel), 'Handtasche' (handbag), or 'Handwerk' (craft/trade).
Für den Winter brauche ich neue Handschuhe.
I need new gloves for the winter.
Many idioms with 'Hand' use a fixed preposition that you should learn along with them. Examples are 'von Hand' (by hand), 'zur Hand' (at hand), 'in der Hand' (in hand), or 'aus erster Hand' (firsthand).
Ich habe die Information aus erster Hand.
I have the information firsthand.
In connection with greetings and gestures, 'Hand' (hand) is often used with the verbs 'geben' (to give), 'reichen' (to offer/extend), or 'schütteln' (to shake).
Der Politiker schüttelte viele Hände.
The politician shook many hands.
The expression 'von Hand' (by hand) always means 'manuell' (manually) or 'ohne Maschine' (without a machine). It is used as an adverbial phrase to describe the production process.
Dieser Pullover wurde von meiner Großmutter von Hand gestrickt.
This sweater was knitted by hand by my grandmother.
The idiom 'etwas in der Hand haben' (to have something in hand) means to have control over a situation. It is often intensified with adverbs like 'fest' (firmly) or 'sicher' (securely).
Die Projektleiterin hat alle Fäden fest in der Hand.
The project manager has all the strings firmly in hand.
The expression 'Hand in Hand' (hand in hand) can literally mean that two people are holding hands. But it is also often used figuratively for close cooperation.
Das Paar ging Hand in Hand am Strand spazieren.
The couple walked hand in hand along the beach.
You can usually recognize the meaning 'Handschrift' (handwriting) from the context. It is often used together with verbs like 'erkennen' (to recognize) or adjectives like 'leserlich' (legible) or 'unleserlich' (illegible).
Ich erkenne seine Hand sofort, sie ist sehr markant.
I recognize his handwriting immediately; it is very distinctive.
'Die Hand für jemanden ins Feuer legen' (to put one's hand in the fire for someone / to vouch for someone) is a fixed idiom that expresses strong trust. You cannot swap out the words in it.
Ich kenne ihn seit Jahren. Für ihn lege ich meine Hand ins Feuer.
I've known him for years. I vouch for him completely.
together
'zusammen' and 'Hand in Hand' can both express that people or groups act together. 'zusammen' is the normal, general word for doing something together. 'Hand in Hand' is a fixed expression and emphasizes that the cooperation is close and well coordinated. You use 'Hand in Hand' more when several people, teams, or areas work well together. For simple everyday situations, 'zusammen' is usually more natural.

Bei der Planung arbeiten Schule und Eltern Hand in Hand.
During the planning, the school and parents work hand in hand.
Die Nachbarn räumen nach dem Fest zusammen den Hof auf.
After the party, the neighbors clean up the courtyard together.