# What is the centroid of a triangle with corners at #(3 , 1 )#, #(2 , 3 )#, and #(5 , 2 )#?

##### 1 Answer

Feb 1, 2016

centroid

#### Explanation:

When graphed, the triangle would look like:

By definition, the **centroid** is the point of intersection between the medians in a triangle. A median is a line segment from a corner of the triangle to the midpoint of its opposite side.

Recall that the formula for centroid is:

#C=((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3)#

where:

To find the coordinates of the centroid, substitute your known points into the centroid formula:

#C=((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3)#

#C=((3+2+5)/3,(1+3+2)/3)#

#C=(10/3,6/3)#

#C=(10/3,2)#