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Question

How many triangles are there in the question figure?

This question was previously asked in
SSC CGL 2016 (Tier 1) Previous Year Question Paper (11-Sep-2016) (Shift 2)
The correct answer is

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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Similar Questions

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Important Questions from Counting Figures

  1. How many triangles are there in the given figure?

  2. Find the number of squares in the given figure. ( Rectangles NOT to be included ).

  3. Find the number of triangles in the given figure.

  4. How many triangles are there in the given figure ?

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