Note 3 - Term Deposits (Details Textual) $ in Thousands	Sep. 30, 2023 USD ($)
Deposits Assets, Restricted, Current, Net	$ 737
Deposits Assets, Restricted Term Deposits, Noncurrent, Net	$ 1,719

Amount of noncurrent restricted term deposits assets net of currency translation effect.

No definition available.

Name:	trt_DepositsAssetsRestrictedTermDepositsNoncurrentNet
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant