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MathNet 2016-part-02 — 184 problems (EN–VI) Question 102

Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)

Question 102

Let $ABCDEF$ be a regular hexagon of area $1$. Consider all the triangles whose vertices belong to the set $\{A, B, C, D, E, F\}$: what is the sum of their areas?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7