Find the number of triangles in the given figure? <img src="/api/images/count-total-triangles-in-pyramid-structure.png" alt="Geometric puzzle image showing a triangle-based figure composed of multiple overlapping and nested triangles used to count the total number of triangles in the figure" width="300" height="200" loading="lazy" decoding="async" class="rounded border border-gray-300 mx-auto my-4" />
Non Verbal Reasoning
Analytical Reasoning
Choose an option
Answer
Correct Answer: 21
Explanation
Question: Find the number of triangles in the given figure.
Step 1: Analyze the structure
The figure shown is a combination of a large triangle on top and a rectangular base, both of which are subdivided into smaller triangles using vertical, horizontal, and diagonal lines.
To find the total number of triangles, we need to count:
- Smallest individual triangles
- Medium-sized triangles formed by combining two or more small triangles
- Large triangles formed by combining multiple units
Step 2: Count systematically
- Top triangle: Contains 4 small triangles
- Middle row: 4 medium-sized triangles formed around the center
- Lower rectangle: 8 small triangles plus combinations forming medium and large triangles
- Composite triangles: Formed by combining multiple sections — at least 5 larger triangles exist
Total triangles = 4 (top) + 4 (middle) + 8 (bottom) + 5 (combined) = 21
Final Answer: 21 triangles