Question

The centroid of the triangle whose vertices are A (1,-5), B (3,7) and C (5,10) is
a) G (3,-4)
b) G (0,9)
c) G (3, 4)
d) G (1,3)

Answer 1

Answer:

Let the given vertices of a triangle be A(3,4) and B (−7,−2) let the third vertex be C (10,−5)

Let Centroid be G

centroid = [

3

x

1

+x

2

+x

3

,

3

y

1

+y

2

+y

3

]

G = [

3

3−7+10

,

3

4−2−5

]

G = (

3

6

,

3

−3

)

G = (2,−1)

x=2 , y=−1.