I have a SharePoint 2010 web application which uses Claims based authentication with NTLM and the site is published to TMG. After completing this process a few days later we installed SSL certificates on SharePoint server and I have configured https on IIS and I have also added AAM in central admin with default zone using 'http' and internet zone using 'https'.
Do I need to extend the web application(in central admin) to use https or is it enough to provide the URL in AAM?
Do I need to import the certificate in to SharePoint (Central admin -> security -> Manage trust)?