How many triangles does the following figure contain?

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Solution

The correct option is D 12
In the given figure,
The simplest triangle are ABF, BFE, EFC, FDC, AFD. i.e 5 triangle.
The two component triangles are ABD, BFC, AFC, ABE total 4 triangle.
Three component triangles are AEC, BDC and 1 triangle containing all components.
Total no. of triangles $= 5 + 4 + 2 + 1 = 12$ .
Thus, there are 12 triangles.
Hence, option D is correct.

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