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We've just learned the open position C, F, and G Major chords. Now let's learn the some minor chords: E Minor, D Minor, and A Minor. E Minor consists of (E G B), D Minor contains (D F A), and A Minor has (A C E). A minor chord consists of root, minor third above root, and perfect fifth above root. The only difference between a major chord and a minor chord is the 3rd. For a major chord, the 3rd is the major 3rd; for a minor chord it is the minor 3rd.
Minor chords may sound slightly more dissonant than major chords. The major third is a more harmonic interval than a minor third; however, remember that all the intervals inside the chord must be analyzed, not simply those between the root and the other notes. While the major chord has a major 3rd between its root and 3rd, the distance from the 3rd to the 5th is actually a minor third. Similarly, in a minor chord, the root-3rd interval is a minor third, but the 3rd-5th interval is a major third. So in actuality, both major and minor chords contain 1 major 3rd, 1 minor 3rd, and 1 perfect fifth (and/or their inverses).