A rectangle stands on the base of a triangle with its top corners on the sides, and both diagonals of the rectangle are drawn. How many triangles are there?

Inside the rectangle: 4 quarters and 4 halves, 8. Above it, the top triangle, 1. At the bottom corners, the two small corner triangles, 2, and each of them joined to the rectangle's half next to it, 2. The whole triangle, 1. Total $8+1+2+2+1=14$.