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.