Question

If (- 2, 1) is the centroid of the triangle having its vertices at (x , 2) , (10 , -2) , (-8 , y) , then x , y satisfy the relation *
If ur explanation is good I will mark u Brainliest definitely​

Answer 1

• Co ordinates of Centroid of ∆ ABC with A ( x1,y1 ) , B ( x2,y2 ) , C ( x3,y3 ) as its vertices is

=> [ ( x1 + x2 + x3 ) / 3 , ( y1 + y2 + y3 ) / 3 ]

So ,

=> according to question ,

=> -2 = { x + 10 + (-8) } / 3

=> -6 = x + 10 - 8

=> -6 = x + 2

=> x = -8 ...

And , => 1 = { 2 + (-2) + y } / 3

=> 3 = 2-2 + y

=> y = 3 ....

therefore , x = -8 and y = 3

Answer 2

Answer:

x=-8

y=3

Step-by-step explanation:

given

centroid= (- 2, 1)

vertices of the triangle=

(x , 2) , (10 , -2) , (-8 , y)

find x,y

centroid of the  triangle having vertices (x1,y1),(x2,y2),(x3,y3)

(x1+x2+x3/3,y1+y2+y3/3)

(x+10-8/3,2-2+y/3)=(- 2, 1)

x+10-8/3=-2

x+2=-6

x=-2-6

x=-8

2-2+y/3=1

0+y=3

y=3