Finding Triangles in a Square

All horizontal and vertical adjacent points are at a distance $1\text{ cm}$ each. If the number of triangles of area $1\text{ cm}^2$ formed by using these points is $\mu$ , evaluate $\left\lfloor \dfrac { \mu }{ 8 } \right\rfloor$ .

Notation : $\lfloor \cdot \rfloor$ denotes the floor function .