How many triangles are there in the figure given above ?

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Q: 9 (CAPF/2010)
How many triangles are there in the figure given above ?

question_subject: 

Logic/Reasoning

question_exam: 

CAPF

stats: 

0,8,13,4,8,3,6

keywords: 

{'many triangles': [0, 0, 1, 1], 'figure': [0, 1, 1, 0]}

The correct answer is option 2: 11 triangles.

To determine the number of triangles in the given figure, we need to carefully examine the shape and count each triangle.

1. Count the large triangle: There is one large triangle encompassing the entire figure.

2. Count the small triangles within the larger triangle: There are six small triangles formed within the larger triangle by connecting the midpoints of the sides.

3. Count the triangles formed by connecting adjacent vertices: There are four additional triangles formed by connecting adjacent vertices in different combinations.

4. Count the triangles formed by the intersecting lines: There is one triangle formed by the intersecting lines in the center.

Adding up all these triangles, we get a total of 11 triangles.

Therefore, the correct answer is option 2: 11.

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