Answer:
CF = 51
Step-by-step explanation:
Given that ABC is a triangle. D,E, F are midpoints of BC, CA and AB respectively.
AD, BE and CF are the medians of the triangle. The three medians concur at a point G. G is the centroid of the triangle.
We know from triangle theorem that the centroid divides each median in the ratio 2:1
Here hence CG:GF = 2:1
Or CG+GF:GF = (2+1):1
So CF: GF = 3:1
Or CF = 3 GF
Since GF = 17 is given we get
CF = 3(17) = 51
