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SMO 2018 Senior Round 1 Question 24

SMO · SMO 2018 Senior Round 1

Question 24

In the figure below, the lines AB and CE are parallel to each other. The point F is the midpoint of the line AC, and $AB=3 AG$. If the area of the triangle $\triangle ABC$ is 666 cm², find the area of the triangle $\triangle CDE$ (in cm²).

Question illustration