Question

How many triangles are there in the given figure? 

• A. 33
• B. 18
• C. 31
• D. 29

Hint:

When counting triangles in a geometric figure, consider all possible sizes and orientations of triangles. Be methodical in counting to ensure you don't overlook any.

Answer 1

The Correct Option is C

To count the number of triangles in the figure, we break down the structure and carefully count the distinct triangles formed by the lines: 
1. Count the individual small triangles. 
2. Count the larger triangles formed by combining smaller triangles. 
3. Sum all distinct triangles. After carefully analyzing the given figure, we find that the total number of triangles is 31. 
Thus, the correct answer is Option C.