Reasoning - Analytical Reasoning - Discussion

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Q.

Find the number of triangles in the given figure.

                        
A. 15 B. 16
C. 17 D. 18

Answer: Option C
Explaination:

 






The figure may be labeled as shown. 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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