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Question

Count the number of triangles in given figure.


Solution

Count the number of layers in the given figure.
For example in this below shown figure number of layers = 4

Square the number of layer. So, it will be 42=16

Then add 3 descending, 2 descending and 1 descending. By n descending I mean add all natural numbers from n to 1. 

So, total number of triangle = 6+3+1+16+ 1(The bigger triangle) = 27

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