Question

Find the centroid of ∆ABC if A (2, -1) B(3,0) and C(- 5, 1). Class 10th ​

Answer 1

Step-by-step explanation:

We have,

(x 1 =−3,y 1 =0),

(x 2 =5,y 2 =−2),

(x 3 =−8,y 3 =5)

Let G(x,y) be the centroid of △ABC.

We know,

coordinates of centroid of triangle with vertices (x 1 ,y 1 ),(x 2 ,y2 ),(x 3 ,y 3 )

are

( 3x 1 +x 2 +x 3 , 3y 1 +y 2 +y 3 )

Thus,

x= 3/1 (−3+5−8)=−2

y= 3/1 (0−2+5)=1

1 (0−2+5)=1

Therefore, the centroid of △ABC is G(−2,1).

Hope this will help you buddy...

Good night sweet dreams...