Cool geometry problem-3

Geometry Level 3

Let \( \text O \) be a point inside \( \triangle ABC \). Three straight lines are pass through \( \text O \) parallelly to the sides of the triangle. The lines divide the triangle into six parts, three of which are triangles of areas \( S_{1}, S_{2} \) and \( S_{3} \). If \( S \) is the area of \( \triangle ABC \).

Which of the following is true ?

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