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Consider the following figure and answe...

Consider the following figure and answer the item that follows

What is the total number of triangles in the above grid?

A

27

B

26

C

23

D

22

Text Solution

Verified by Experts

The correct Answer is:
C
The number of triangles of unit length = 1+ 3+ 5+ 3 = 12
The number of triangles of length 2 units = 1+ 2+ 3 = 6
and there is one inverted triangle of length 2 units.
So, total number of triangles of length 2 units = 6+1=7
The number of triangles of length 3 units = 1+ 2 = 3
The number of triangles of length 4 units = 1
Total number of triangles = 12 + 7 + 3+ 1 = 23
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