Triangle

Geometry Level 3

Nine lines drawn parallel to the base of a triangle divide the other two sides into 10 equal parts and the area into 10 distinct parts. If the area of the largest of these parts is 1997 sq.cms, find the area of the triangle. If ans is in the form of \( \frac ab\), where \(a\) and \(b\) are coprime positive integers, submit \( a+b\) as your answer.

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