Concept:Use systematic counting by size to identify all distinct triangles in the figure without duplication.Explanation:First, count the smallest individual triangles. There are 8 of these. Next, look for triangles formed by combining two small triangles that share a common side – you will find 4 such medium triangles. Then, combine four small triangles to form larger triangles – there are 2 of these. Finally, verify that no other triangles (e.g., from different orientations or larger combinations) exist. Add the counts: 8 + 4 + 2 = 14 total triangles.
