Question

The coordinates of the centroid of a triangle whose vertices are (–1, 3),
(–4, 5) and (8, 13) is
A (6, 6).
B (6, 0).
C (1, 7).
D (1, 5).
​

Answer 1

Step-by-step explanation:

Let the ΔABC with vertices A=(x

1

,y

1

)=(4,−8),B=(x

2

,y

2

)=(−9,7)

and C=(x

3

,y

3

)=(8,13)

∴ its centroid G=(

3

x

1

+x

2

+x

3

,

3

y

1

+y

2

+y

3

)=(

3

4−9+8

,

3

−8+7+13

)

∴G=(1,4)

Answer 2

By given,

x₁=-1 ; y₁=3

x₂=-4 ; y₂=5

x₃=8 ; y₃=13

Let the coordinates of the centroid of the triangle be, (x,y) then,

x=x₁+x₂+x₃ / 3      ;     y=y₁+y₂+y₃ /3

x=-1-4+8 /3          ;     y=3+5+13/3

x=1                       ;     y=7

⇒∴(x,y)=(1,7)

Hope it helps u :)