📌 How Many Triangles Are in This Picture? Step-by-Step Count

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Posted 16 August 2025 by: Admin #Various

Think you can spot every triangle at a glance? This classic brain teaser hides more shapes than you expect—let’s break it down level by level and tally them all.

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We can see that the main shape is a large triangle divided by horizontal and vertical lines:

  1. There are 3 horizontal lines dividing the large triangle into 4 levels.
  2. There are 2 vertical lines, which divide each level into 3 parts (creating multiple smaller triangles).
  3. Overall, the shape contains many small triangles, both individual and combinations of smaller ones.

Counting:

Level 1 (top):

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  • 1 small triangle.

Level 2:

  • 2 small triangles (left and right).
  • Plus 1 larger triangle formed by combining the whole level → 3 triangles in total.

Level 3:

  • 3 small triangles (left, center, right).
  • 2 medium triangles formed by combining two small ones.
  • 1 large triangle from the entire level → 6 triangles in total.

Level 4 (bottom):

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  • 3 small triangles.
  • 3 medium triangles (each combining two small ones).
  • 1 large triangle from the full level → 7 triangles in total.

Total triangles from each level:

  • Level 1: 1
  • Level 2: 3
  • Level 3: 6
  • Level 4: 7

Additionally, triangles formed by combining multiple levels:

  • Level 1 + 2: 1
  • Level 2 + 3: 2
  • Level 3 + 4: 3
  • Level 1 to 3: 1
  • Level 2 to 4: 1
  • Whole large triangle: 1

Total combined triangles: 9

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Final Total:

1 (level 1) + 3 (level 2) + 6 (level 3) + 7 (level 4) + 9 (combinations) = 26 triangles

Answer: 26 triangles

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