Triangle

Geometry Level 3

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.

ST=1,A(ABC)=20rad6 ST=0.7,A(ABC)=12rad3 ST=0.75,A(ABC)=15rad5 ST=1,A(ABC)=18rad7