JSFiddle - React, Tailwind, and code Playground
HTML
<link rel="stylesheet" href="http://netdna.bootstrapcdn.com/bootstrap/3.1.1/css/bootstrap.min.css">
<div class="col-sm-4 portfolio-item dontwantpadding">
<div class='tri-up'>
<svg width="200px" height="200px" viewBox="0 0 100 87">
<clipPath id="clipTriangleUp">
<polygon points="0 87,100 87,50 0"/>
</clipPath>
<a id="svgtriangle"
xlink:href="#portfolioModal3" class="portfolio-link">
<image clip-path="url(#clipTriangleUp)" preserveAspectRatio="none"
width="100%" height="100%"
xlink:href="http://placehold.it/1749x1510"/>
</a>
</svg>
</div>
</div>
<div class="modal fade" id="myModal">
<div class="modal-dialog">
<div class="modal-content">
<div class="modal-header">
<button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button>
<h4 class="modal-title">Modal title</h4>
</div>
<div class="modal-body">
<p>One fine body…</p>
</div>
<div class="modal-footer">
<button type="button" class="btn btn-default" data-dismiss="modal">Close</button>
<button type="button" class="btn btn-primary">Save changes</button>
</div>
</div><!-- /.modal-content -->
</div><!-- /.modal-dialog -->
</div><!-- /.modal -->
JavaScript
var triangle = document.getElementById("svgtriangle");
triangle.addEventListener('click', function(evt) {
$('#myModal').modal('show');
});