In the following question, find the number of triangles in the given figure.

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Solution

The correct option is B 17
The simplest triangles are ABF, BFG, BCG, CGH, GHD, GED, EFG and AFE i.e. 8 in number.
The triangles composed of two components each are ABG, BGE, AGE, ABE and GCD i.e. 5 in number.
The triangles composed of three components each are BCD, CDE, BED and BCE i.e. 4 in number.
Thus, there are $8 + 5 + 4 = 17$ triangles in the figure.

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