[jQuery] Finding element that matches anchor link

[jQuery] Finding element that matches anchor link

I just know this is a dumb question with a simple answer, but here goes...
I have  something like:
<a href="#div1" class="trigger">Link a</a>
<a href="#div2" class="trigger">Link a</a>
and
<div id="div1"></div>
<div id="div2"></div>
I need to match the link to it's div, but can't figure out the selector. Non working test js is:
$(document).ready(function() {
                $("a.trigger").each(function(i) {
                    targetDiv = $($(this).href);
                    targetDiv.style.background = "red";
                });
            });
So how do I match the link to it's div?
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