In △abc, gf=17 in. what is the length of cf¯¯¯¯¯? enter your answer in the box.

The length of CF according to the given diagram is 51 inches

Based on the theorem on centroid, the following about the segments are true:

CF = CG + GF

CG = 2 GF

Given that GF = 17in

CG = 2(17)

CG  = 34 in

Get the measure of CF:

Recall that CF = CG + GF

CF = 34 + 17

CF = 51 inches

Hence the length of CF according to the given diagram is 51 inches

Learn more here: link

Each vertex is connected to the midpoint of the opposite side.
Each segment that connects a vertex to the midpoint of the opposite side is a median.
The three medians intersect at the centroid of the triangle
The centroid divides each median into two segments in a ratio of 2:1.

CG = 2GF

CG = 2(17) = 34

CF = CG + GF = 34 + 17

CF = 51

So length times width times height or V= bh