Question

How to enable radio button click on a button with 3 pictures?

http://jsfiddle.net/eeda6/8/

<div class="newsRadioButtons">
<div class="radioAll">
    <div class="radioAllLeft"></div>
    <div class="radioAllMiddle">
        <imput type="radio" checked="true" value="all" name="filter" />ALL
    </div>
    <div class="radioAllRight"></div>
</div>
<div class="radioImportant">
    <div class="radioImportantLeft"></div>
    <div class="radioImportantMiddle">
        <imput type="radio" checked="true" value="all" name="filter" />Important
    </div>
    <div class="radioImportantRight"></div>
</div>

​​​

Sorry for the typo error

Answer 1

first of all, notice that you’ve written imput instead of input.
as to the solution, using jquery you can attach an event to the surrounding div so when clicking the div the input element inside of him will be checked.

$('.newsRadioButtons > div').on('click', function(e) {
    $(this).find('input').prop('checked', true);
});

added code example: http://jsfiddle.net/eeda6/14/