Question

Count the number of triangles in the image below. 

Hint:

When counting shapes in complex figures, it is helpful to organize your approach by counting shapes layer by layer or starting with smaller shapes and combining them to form larger ones.

Answer 1

To count the number of triangles in the given figure, follow these steps systematically:
1. Simple triangles: Count all individual triangles formed by intersecting lines.
2. Overlapping triangles: Count larger triangles formed by combining smaller ones.
3. Hidden triangles: Identify any triangles formed due to overlaps or intersections.
By methodically examining all possible combinations and intersections, the total number of triangles in the image is determined to be 16.
Conclusion: The total number of triangles in the image is 16.