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mathstudent55
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
abidemiokin

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

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