What are the coordinates of the centroid of a triangle with vertices P(−4, −1) , Q(2, 2) , and R(2, −3) ?

Question

asked Aug 12, 2018 109k views

2 Answers

Frankenstein · Answer 1 · 2018-08-16T11:08:13+0000

Answer:

(x,y)=(0,(-2)/(3))

Explanation:

Given : Vertices of Triangle
P(x_1,y_1)=(-4,-1) ,
Q(x_2,y_2)=(2, 2) and
R(x_3,y_3)=(2,-3)

To find : Centroid of a triangle

The centroid of a triangle is the point of intersection of the three medians of the triangle.

The formula to calculate the centroid of a triangle is:

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

Where,
x_1,x_2,x_3,y_1,y_2,y_3 are the coordinates of the centroid

Substituting the values in the formula gives us:

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

(x,y)=((-4+2+2)/(3),(-1+2-3)/(3))

(x,y)=((0)/(3),(-2)/(3))

Therefore,
(x,y)=(0,(-2)/(3))