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1971 AMC 12 Question 26

AMC12 · 1971 AMC 12

Question 26

In triangle $ABC,$ point $F$ divides side $AC$ in the ratio $1:2.$ Let $E$ be the point where side $BC$ meets $AG,$ where $G$ is the midpoint of $BF.$ Then $E$ divides $BC$ in the ratio:

Question illustration
  1. $1:4$
  2. $1:3$
  3. $2:5$
  4. $4:11$
  5. $3:8$