Question:
Find the number of triangles in the given figure:
Find the number of triangles in the given figure:
Updated On: Dec 22, 2025
- 11
- 13
- 15
- 17
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The Correct Option is B
Solution and Explanation
To find the number of triangles in the given figure, we will analyze the figure step by step:
- Identify individual triangles formed by small sections of the figure.
- Count composite triangles formed by combining the smaller ones.
-
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.
-
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.
-
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
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