As R is the centroid. The following property is true:
The distance between the centroid and its corresponding vertex is twice the distance between the centroid and the opposite side.
In the given triangle:
R is the centroid
KR is the distance from centroid to vertex
RP is the distance from centroid to opposite side.
KR is twice RP
RP is half of KR
[tex]\begin{gathered} RP=\frac{1}{2}KR \\ \\ RP=\frac{14}{2} \\ \\ RP=7 \end{gathered}[/tex]Then, RP is 7