Question

Determine the X coordinate of the centroid of a triangle whose vertices are (-5,3) , (8,4) and

(3,4).​

Answer 1

We know that the coordinates of the centroid of a triangle whose angular points are(x  

1

​  

,y  

1

​  

),(x  

2

​  

,y  

2

​  

),(x  

3

​  

,y  

3

​  

)are

(  

3

x  

1

​  

+x  

2

​  

+x  

3

​  

 

​  

,  

3

y  

1

​  

+y  

2

​  

+y  

3

​  

 

​  

)

So, the coordinates of the centroid of a triangle whose vertices are  (0, 6), (8, 12) and (8, 0) are

(  

3

0+8+8

​  

,  

3

6+12+0

​  

)or,(  

3

16

​  

,6)