# Triangle

Geometry Level pending

Let $$ABC$$ be a triangle and $$AD$$ perpendicular on $$BC$$, $$D$$ is situated on $$BC$$ .Let $$M$$ be the midpoint of $$AD$$ and $$N$$ the midpoint of $$AB$$. Let $$T$$ be the intersection of BM with CN and S the intersection of AD with CN. If BM is perpendicular on CN and NT=2 and SC=9,find ST and the area of triangle ABC.

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