# 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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