Use dangerouslySetInnerHTML to inject HTML as a string in React (but note that React won’t be able to use this markup in its virtual DOM):
<div dangerouslySetInnerHTML={{__html: this.state.output}} />
http://jsfiddle.net/5Y8r4/11/
The API for doing this is deliberately complex because this isn't safe to do routinely. React has protections against XSS, using dangerouslySetInnerHTML circumvents those and opens you up to risk if you aren't sanitizing that data.
