Using [math]\triangle ABC[/math] from Example 3, which has vertices [math]A (–2, 4)[/math], [math]B (5, 4)[/math], and [math]C (3, –2)[/math], verify that the centroid, [math]X (2, 2)[/math], is [math]\frac{2}{3}[/math] the distance from each vertex.

[list=1][br][*]Identify the known information.[br][*]Use the distance formula to show that point [math]X (2, 2)[/math] is [math]\frac{2}{3}[/math] the distance from each vertex.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for the [i]CCGPS Analytic Geometry[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.