Why three? Traditionally, seders require three matzot. Why three? Three are our patriarchs, Abraham, Isaac and Jacob. Three are the tenses hinted-at in God's unpronounceable Name. The three matzot can also represent one point of view, an opposing point of view, and the compassionate understanding which bridges them both.

haggadah Section: Yachatz
Source: https://velveteenrabbi.files.wordpress.com/2015/02/vrhaggadah6.pdf