Question

What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ?

Answer 1

Coordinates of centroid is `(-1,2)`

Explanation:

Coordinates of the vertices of the triangle are

`X(-4,0),Y(-1,4),Z(2,2)`. The coordinates of centroid `(x,y)`

of triangle is the average of the x-coordinates value and the

average of the y-coordinates value of all the vertices of

the triangle. `:.x= (-4-1+2)/3=-1 , y= (0+4+2)/3=2` .

Therefore, coordinates of centroid is `(-1,2)` [Ans]

Answer 2

`(-1,2)`

Explanation:

`"given the vertices of a triangle "`

`(x_1,y_1),(x_2,y_2),(x_3,y_3)`

`"then the coordinates of the centroid are"`

`[1/3(x_1+x_2+x_3),1/3(y_1+y_2+y_3)]`

`(x_1,y_1)=-4,0),(x_2,y_2)=(-1,4),(x_3,y_3)=(2,2)`

`"coordinates of centroid are"`

`[1/3(-4-1+2),1/3(0+4+2)]=(-1,2)`