SOLUTION: Solve for AG in triangle ABC. Triangle: imgur.com/apvjj6F.jpg FG = 7. What is AG when applying the centroid theorem?

Algebra ->  Triangles -> SOLUTION: Solve for AG in triangle ABC. Triangle: imgur.com/apvjj6F.jpg FG = 7. What is AG when applying the centroid theorem?       Log On


   



Question 1118122: Solve for AG in triangle ABC.
Triangle: imgur.com/apvjj6F.jpg
FG = 7.
What is AG when applying the centroid theorem?

Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
.
The intersection point divides each median of a triangle in the ratio 2:1 counting from the corresponding vertex.

So, if the given segment FG has the length of 7, then the rest of the median AF, the segment AG, is two times
as long as FG, i.e. |AG| = 2*7 = 14.


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See the lesson
    - Medians of a triangle are concurrent
in this site.