How many triangles are there?

In this image, the question is: “How many triangles are there?” At first glance, it looks like a simple rectangle divided by lines, but careful observation reveals multiple overlapping and nested triangles.

Step-by-step Breakdown:
The large rectangle is divided vertically into 4 equal sections and a diagonal line runs from the top-left corner to the bottom-right corner, cutting through each vertical section.

Let’s count the triangles section by section:

1. First Section (far left):
The diagonal cuts this square into 2 triangles.

2. Second Section:
The diagonal creates 2 more triangles here.

3. Third Section:
Again, 2 triangles formed by the diagonal.

4. Fourth Section (far right):
The diagonal again forms 2 triangles.

That gives us 2 triangles × 4 sections = 8 small triangles.

Now, consider larger combinations:

5. Larger triangles formed across sections:

– One triangle spans the first and second section.

– One triangle spans second and third section.

– One spans third and fourth section.

– One triangle spans entire top half of the rectangle.

– One triangle spans entire bottom half.

– One large triangle covering the whole diagonal shape.

These larger combinations add 6 more triangles.

✅ Total = 8 (small) + 6 (larger) = 14 triangles

Conclusion:
The puzzle contains a total of 14 triangles, formed by cleverly combining small and large sections. This visual riddle tests not only attention to detail but also spatial awareness and geometric understanding.

Recommended For You

About the Author: GT

Leave a Reply

Your email address will not be published. Required fields are marked *