Question Details

How many triangles are there in the given figure?


Options

A

16

B

9

C

12

D

14

Show Answer

Correct Answer :

Option D

14

Solution :

The correct option is 14.


To determine the total number of triangles present in the given figure, we can systematically break down and count the triangles in each section of the image:


Given Figure


1. Leftmost Column (divided into two vertical rectangles):

- Top-left rectangle contains 2 small triangles formed by its diagonal.
- Bottom-left rectangle contains 2 small triangles formed by its diagonal.
- Combining these gives 4 triangles in the leftmost section.


2. Middle Section (large triangular area):

- The main large triangular shape pointing towards the right vertex.
- Divided horizontally by a middle line, forming 2 medium triangles (upper half and lower half).
- Divided vertically into smaller triangular sub-regions, adding 4 smaller individual triangles.
- In total, counting the individual components and composite shapes within this central region gives 6 triangles.


3. Rightmost Section (vertical column):

- Top part has no diagonal dividers.
- Middle sub-square contains 2 triangles divided by a diagonal.
- Bottom sub-square contains 2 triangles divided by a diagonal.
- This gives 4 triangles in the rightmost section.


Total Count:

Total triangles = 4 + 6 + 4 = 14


Hence, there are a total of 14 triangles in the given figure.

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