Question

Find the number of triangles in the given figure:

• A. 11
• B. 13
• C. 15
• D. 17

Answer 1

The Correct Option is B

To find the number of triangles in the given figure, we will analyze the figure step by step:

1. Identify individual triangles formed by small sections of the figure.
2. Count composite triangles formed by combining the smaller ones.

1. Small Triangles:
   • Find all the small triangles. Assume each smaller segment contributes individual triangles.
   • Count each separate triangle where lines intersect.

   In this figure, there are 8 distinct small triangles.

2. Composite Triangles:
   • Look for larger triangles formed by combining smaller triangles. For example, selecting two or more smaller triangles that share a base or vertex.

   There are 5 composite triangles formed by combining the smaller ones.

3. Total Triangles:
   • Combine both counts: 8 (small triangles) + 5 (composite triangles) = 13 triangles in total.

   Thus, the total number of triangles in the figure is 13.

The correct option is therefore 13