In triangle ABC, the median AD is divided into two equal parts at point E. Line BE intersects AC at point F. What is the ratio of AF to AC?

Correct answer: 1:3

Solution

In a triangle, the median divides the opposite side into two equal parts, and the line joining the centroid divides the triangle in a 1:2 ratio. Using this property, the ratio of AF to AC is 1:3.

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