Question

Find the coordinates of the centroid of the triangle with the vertices at S(-2,3), T(6,7) and U(4,1)

Answer 1

Given:

The vertices of the triangle are given:

`S(-2\text{ ,3) , T(6,7), U(4,1)}`

The objective is to find the coordinates of the centroid of the triangle.

Now

The coordiantes of the centroid are given by:

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

The vertices are :

`\begin{gathered} (x_1,y_1)=(-2,3) \\ (x_2,y_2)=(6,7) \\ (x_3,y_3)=(4,1) \end{gathered}`

The coordinates of centroid are:

`\begin{gathered} =((-2+6+4)/(3),(3+7+1)/(3)) \\ =((8)/(3),(11)/(3)) \end{gathered}`

This is the required answer.