Question

find the centroid of the triangle vertices are (-6,0) (0,1) (1,3)​

Answer 1

Step-by-step explanation:

The centroid of triangle is X=-5/3 & Y=4/3

Answer 2

The centroid of the given triangle will be "(X,Y)=($\frac{-5}{3}$, $\frac{4}{3}$)". Further explanation is given below.

Step-by-step explanation:

Given vertices of a triangle:

(-6,0), (0,1), (1,3)

Let, (x1,y1)=(-6,0)

      (x2,y2)=(0,1)

      (x3,y3)=(1,3)

Centroid of the triangle for X-axis,

X=$\frac{x1+x2+x3}{3}$

By putting the values of x1, x2 and x3 we get

X= $\frac{-6+0+1}{3}$

X=$\frac{-5}{3}$

Centroid of the triangle for Y-axis,

Y=$\frac{y1+y2+y3}{3}$

By putting the values of y1, y2 and y3, we get

Y=$\frac{0+1+3}{3}$

Y=$\frac{4}{3}$

Hence, the co-ordinates of the centroid will be:

(X,Y=$\frac{-5}{3}$, $\frac{4}{3}$ )

Learn more:

Find the coordinates of centroid of the following:i. (-1, 3), (6, -3) and (-3, 6)...

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