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MathNet 2019-part-02 — 184 problems (EN–VI) Question 35

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 35

In the figure below, $ABC$ is an equilateral triangle, $D$, $E$ and $F$ are the midpoints of its sides and $P$ is its center. What fraction of the whole triangle $ABC$ does the shaded area represent?

Question illustration