How many triangles are there in the following figure?

F2 State G  Priya 26-2-2024 D17

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  1. 23
  2. 21
  3. 22
  4. 20

Answer (Detailed Solution Below)

Option 2 : 21
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Detailed Solution

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Let's count the number of triangles in the figure,

F2 State G  Priya 26-2-2024 D18 F2 State G  Priya 26-2-2024 D19

F2 State G  Priya 26-2-2024 D21F2 State G  Priya 26-2-2024 D22

F2 State G  Priya 26-2-2024 D23 F2 State G  Priya 26-2-2024 D24

There are 21 triangles in the given Figure.

Hence, the correct answer is "21".  

Key PointsIn this type of question, we can solve the problem by counting the triangles and then adding them like given below: 

F2 State G  Priya 26-2-2024 D20

The total number of triangles = 6 + 5 + 4 + 3 + 2 + 1= 21

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