Concept:Counting triangles by systematically identifying them based on their vertices.Explanation:1. Identify the smallest triangles: There are 6 smallest triangles.2. Identify triangles formed by combining two smaller triangles: There are 4 such triangles.3. Identify triangles formed by combining three smaller triangles: There are 2 such triangles.4. Identify triangles formed by combining four smaller triangles: There are 2 such triangles.5. Total triangles = 6 + 4 + 2 + 2 = 14.Answer:14