Question

find the centroid of a triangle with three given vertices namely (-3,2) (1,5) (11,-19

Answer 1

hope this answer will help you.

Answer 2

Given:

Vertices: (-3,2), (1,5), (11,-19)

To find:

The centroid of the triangle

Solution:

The centroid of the triangle is (3, -4).

We can find the centroid by following the given steps-

We know that the centroid can be obtained by taking the average of the coordinates of the vertices.

We are given that the vertices are as follows-

(x1, y1)=(-3,2)

(x2, y2)=(1,5)

(x3, y3)=(11,-19)

Let the coordinates of the centroid be (A, B).

So, A=(x1+x2+x3)/3 and B=(y1+y2+y3)/3

On putting the values, we get

A=(-3+1+11)/3

A=9/3

A=3

B=(2+5-19)/3

B=(-12)/3

B= -4

The coordinates of the centroid= (3, -4)

Therefore, the centroid of the triangle is (3, -4).