How many triangles are there in the question figure?
28
The image shows a complex arrangement of lines forming several triangles. To accurately count the triangles, a systematic approach is necessary. We can categorize the triangles by size:
Small Triangles: Observe that there are 16 small triangles forming the base pattern of the figure. These are the smallest individual triangles visible.
Medium Triangles: Next, consider the triangles formed by combining smaller triangles. There are 8 medium-sized triangles created by joining four small triangles together.
Large Triangles: Finally, we identify the largest triangles. Notice that there are four large triangles, each formed by joining sixteen small triangles together. These triangles are the largest visible in the figure.
Total Triangles: Adding up the counts of small, medium, and large triangles: 16 + 8 + 4 = 28 triangles in total.
Therefore, there are a total of 28 triangles in the given figure.
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