Question

Find the co-ordinates of vertex C of triangle ABC, where A(4, 5), B(1, 2) and coordinates of its centroid are (3, 3).​

Answer 1

Answer: ⇒c=(1,−5,−2)

Step-by-step explanation:

→ centroid coordinates:

G

x

=

3

x

1

+x

2

+x

3

⇒0=

3

1−2+c

x

⇒c

x

=1

G

y

=

3

y

1

+y

2

+y

3

=0=

3

1+4+c

y

⇒c

y

−5

G

z

=

3

z

1

+z

2

+z

3

=0=

3

1+1+c

z

⇒c

z

−2

⇒c=(1,−5,−2)