
zusammenhängend
connected
Describes things that are directly connected to one another spatially or form an uninterrupted unit.
Die beiden Grundstücke bilden eine große, zusammenhängende Fläche.
The two plots of land form one large, connected area.
connected / coherent
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connected
Describes things that are directly connected to one another spatially or form an uninterrupted unit.
Die beiden Grundstücke bilden eine große, zusammenhängende Fläche.
The two plots of land form one large, connected area.

coherent
Describes something that forms a logical, content-related, or thematic unit and is understandable.
Er konnte die Ereignisse nicht mehr zusammenhängend schildern.
He could no longer describe the events coherently.

connected with that
Being connected with something mentioned previously; referring to it.
Die Firma hatte finanzielle Probleme und damit zusammenhängend mussten viele Mitarbeiter entlassen werden.
The company had financial problems, and connected with that, many employees had to be laid off.
'Zusammenhängend' (connected/coherent) is the present participle of the separable verb 'zusammenhängen' (to be connected). It literally describes things that 'hang together' or are connected with one another, whether spatially or logically.
Er formulierte einen langen, zusammenhängenden Satz.
He formulated a long, coherent sentence.
The adjective 'zusammenhängend' (connected/coherent) is closely related to the noun 'der Zusammenhang' (context, connection). If something is zusammenhängend, it has a clear connection.
Damit die Geschichte zusammenhängend wirkt, muss der logische Zusammenhang stimmen.
For the story to seem coherent, the logical connection has to work.
You can tell whether a spatial or logical connection is meant from the noun. With concrete things like 'Fläche' (area) or 'Gebiet' (region), it is about space. With abstract things like 'Text' (text) or 'Geschichte' (story), it is about logic.
Die drei Zimmer bilden eine zusammenhängende Wohnung.
The three rooms form one connected apartment.
In the logical meaning, 'zusammenhängend' (coherent) is often used with verbs of speaking or writing. Typical phrases are 'zusammenhängend erzählen' (to tell coherently), 'zusammenhängend argumentieren' (to argue coherently), or 'zusammenhängend schreiben' (to write coherently).
Nach dem Schock konnte er den Vorfall nicht zusammenhängend schildern.
After the shock, he could not describe the incident coherently.
The phrase 'damit zusammenhängend' (connected with that) often comes at the beginning of a sentence or clause. The conjugated verb then follows directly in position 2.
Die Kosten sind gestiegen. Damit zusammenhängend müssen wir die Preise erhöhen.
The costs have risen. Connected with that, we have to raise prices.
coherent / harmonious
When used for a text or argument, zusammenhängend generally describes a recognizable unity of content or theme. Stimmig emphasizes more strongly that everything fits together logically and harmoniously, without contradictions. Use zusammenhängend for an existing connection and stimmig when the internal logic is also convincing.

Der Text ist zusammenhängend, weil alle Abschnitte dasselbe Thema behandeln.
The text is coherent because all the sections deal with the same topic.
Das Argument ist stimmig, weil jeder Schritt logisch aus dem vorherigen folgt.
The argument is sound because each step follows logically from the previous one.