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

2 Answers
Binayaka C.
Aug 11, 2018

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]

Jim G.
Aug 11, 2018

#(-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)#

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