Question

find the coordinates of vertex of c of triangle abc if it's centroid is the origin and the vertices a, b, are (1, 1,1) &(_2, 4,1)

​

Answer 1

Answer:

NSWER

→ 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)

Answered By

Step-by-step explanation:

Answer 2

→ 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)