Analytical Reasoning Q25

25.	Find the number of triangles in the given figure.
	A. 8 B. 10 C. 12 D. 14

Answer: Option C

Explanation:

The figure may be labelled as shown.

The simplest triangles are AEH, EHI, EBF, EFI, FGC, IFG, DGH and HIG i.e. 8 in number.

The triangles composed of two components each are HEF, EFG, HFG and EFG i.e. 4 in number.

Thus, there are 8 + 4 = 12 triangles in the figure.