[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] [*]Identify known information. [*]Determine the midpoint of each side of the triangle. [*]Determine the medians of the triangle. [*]Verify that [math]X (2, 2)[/math] is the intersection of the three medians. [*]State your conclusion. [/list]