[math]\triangle ABC[/math] has vertices [math]A (–2, 4)[/math], [math]B (5, 4)[/math], and [math]C (3, –2)[/math]. Find the equation of each median of [math]\triangle ABC[/math] to verify that [math](2, 2)[/math] is the centroid of [math]\triangle ABC[/math].

[list=1][br][*]Identify known information.[br][*]Determine the midpoint of each side of the triangle.[br][*]Determine the medians of the triangle.[br][*]Verify that [math]X (2, 2)[/math] is the intersection of the three medians.[br][*]State your conclusion.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.