# Strange hexagon

**Discrete Mathematics**Level 5

Find the number of triangles (excluding degenerate triangles) in the given figure.

In the given figure, \(VTR_1S_1H_1J\) is a hexagon, such that :-

There are \(19\) defined points on \(TJ\) (excluding \(T\) and \(J\)) which are connected to \(V\) and \(O\) (the geometric center of the hexagon) by line segments such that \(V\) is on opposite side of \(TJ\) as compared to \(O\).

Similarly, there are \(19\) defined points on \(R_1H_1\) (excluding \(R_1\) and \(H_1\)) which are connected to \(S_1\) and \(O\) (the geometric center of the hexagon) by line segments such that \(S_1\) is on opposite side of \(R_1H_1\) as compared to \(O\).

There are \(19\) defined points on \(TR_1\)(excluding \(T\) and \(R_1\)) which are connected to \(O\) by line segments such that \(TR_1\) is on opppsite side of \(O\) as compared to \(JH_1\).

There are \(19\) defined points on \(JH_1\)(excluding \(J\) and \(H_1\)) which are connected to \(O\) by line segments such that \(TR_1\) is on opppsite side of \(O\) as compared to \(JH_1\).

Please zoom in if the image is small to see.