How many triangles are there in the following figure? A triangle with internal lines dividing it into smaller triangles

Explanation

Number of triangles with one face = 5 Number of triangles with two faces = 4 Number of triangles with three faces = 2 Number of triangles with five faces = 1 ∴ Total number of triangles in the given figure = 5 + 4 + 2 + 1 = 12