# What is the centroid of a triangle with corners at #(4 , 1 )#, #(3 , 2 )#, and #(5 , 0 )#?

##### 1 Answer

A triangle is formed by three non-collinear points.

But the given points are collinear therefore there is no triangle with these coordinates. And thus the question is meaningless,

If you have a question that how did I know that the given points are collinear then I am going to explain the answer.

Let

Here let

Since the condition is verified therefore the given points are collinear.

However if the man who gave you the question still says you to find the centroid then use the formula for finding the centroid which is used below.

If

Where

Here let

Therefore, the centroid is