Answer:
Part a) 
Part b) 
Part c) 
Part d) 
Part e) 
Step-by-step explanation:
we know that
The centroid of a triangle is the point where the three median.s coincide.
The centroid is located two thirds of the distance from any vertex of the triangle.
step 1
<em>Find the value of A.F.</em>
we know that

we have

substitute

Solve for A.F.


step 2
<em>Find the value of G.F.</em>

substitute the value of A.F

step 3
<em>Find the value of F.C. </em>
Remember that a median of a triangle is a line segment from one vertex to the mid-point on the opposite side of the triangle
so

we have

substitute


step 4
<em>Find the value of D.B.</em>

we have

substitute


step 5
<em>Find the value of G.B</em>

substitute the value of D.B.

