Find the number of triangles in the given matrix grid figure.

Let's systematically count the triangles present in the structural geometry:
1. Count individual/smallest single-unit triangles formed within the intersecting framework.
2. Combine pairs of adjacent units to check for larger composite triangles.
3. Count multi-segment larger bounding triangles formed across major symmetry lines.
Summing the individual layers and compound structural patterns gives a definitive total of $14$ distinct triangles.