if that was sun's jre, then an rpm is extracted from the *.bin file. you need to install the rpm.
[prompt] # rpm -ivh java*.rpm
this will help you out with your browser. basically the first page will have the commands to link javaplugin inside your browser's plugin folder
i take it you're using mozilla or netscape. check your versions because they'll have different install paths. generally:
if using mozilla or netscape provided by your distro as an rpm or updated from your distro's update site via rpm then the install path will be:
/usr/lib/mozilla - original package installed when installing redhat
/usr/lib/mozilla-1.X.X - upgraded from up2date where the X's are part of the version number.
the same will probably hold for netscape.
if you installed mozilla or netscape using installers from mozilla.org or netscape.com then the default installation path will be:
this is important because you need to create a link to the javaplugin inside your browser's plugins directory.