Solve the Problem $\frac { 8 } { 3 }$ B) $\frac { \sqrt { 17 } } { 3 }$

Multiple Choice

Solve the problem.
-The medians of a triangle intersect at a point. The distance from the vertex to the point is exactly two-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance of that point from the
Vertex A(3, 4) of a triangle, given that the other two vertices are at (0, 0) and (8, 0) .

A) $\frac { 8 } { 3 }$
B) $\frac { \sqrt { 17 } } { 3 }$
C) $\frac { 2 \sqrt { 17 } } { 3 }$
D) 2