A triangle has vertices P(−4, 8), I(0, 2), and N(4, 2). What are the coordinates of the centroid of the triangle?
To find the centroid of a triangle, you need to find the average of the x-coordinates and the average of the y-coordinates of the three vertices.
For the x-coordinate of the centroid:
(-4 + 0 + 4) / 3 = 0 / 3 = 0
For the y-coordinate of the centroid:
(8 + 2 + 2) / 3 = 12 / 3 = 4
Therefore, the coordinates of the centroid of the triangle are (0, 4).