Question

In a triangle ABC, let G denote its centroid and let M,N be points in the interiors of the segments AB,AC, respectively, such that M,G,N are collinear. If r denotes the ratio of the area of triangle AMN to the area of ABC then find r.

Answer 1

Answer: hello options related to your question is missing attached below is the missing option

answer :

4/9 ≤ r < 1/2 ----- ( c )

Explanation:

Given that G denotes the centroid of triangle ABC and points M, N are points found in the interiors of segments AB,AC

also Given that r denotes ratio of triangles AMN to triangle ABC

attached below is a detailed solution