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Let the area of a given triangle ABC be ...

Let the area of a given triangle ABC be `Delta`. Points `A_1, B_1, and C_1` , are the mid points of the sides BC,CA and AB respectively. Point `A_2` is the mid point of `CA_1`. Lines `C_1A_1 and A A_2` meet the median `BB_2` points E and D respectively. If `Delta_1` be the area of the quadrilateral `A_1A_2DE`, using vectors or otherwise find the value of `Delta_1/Delta`

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