Steps to reproduce:

1. Setup host with just a check for SSH availability
2. Take host offline
3. Query triggers.get API

Result:
Dashboard shows trigger under current problems correctly

Trigger is absent in the API results, while triggers with Zabbix agent hosts are returned

Expected:
All triggers shown in the Dashboard are returned via API

This is the used query:

$jsonData = array(
 'jsonrpc' => '2.0',
 'method' => 'trigger.get',
 'params' => array(
 'output' => array(
 'description',
 'value',
 'status',
 ),
 'selectHosts' => array(
 'host'
 ),
 'selectItems' => array(
 'lastvalue',
 'units'
 ),
 'filter' => array (
 'value' => 1,
 'status' => 0
 ),
 'sortfield' => 'priority',
 'sortorder' => 'DESC'
 ),
 'id' => 2,
 'auth' => $token
 );
 

Removing selectHosts does not help.