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

question 176

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

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