Find the number of triangles in the given figure.

Options

A. 16
B. 18
C. 14
D. 15

Answer

B

Explanation

The figure may be labelled as shown.

The simplest triangles are BFG, CGH EFM, EMG, GMN, GHIN, HINI, LMK, MNK and KNJ i.e. 10 in number
The triangles composed of threescomponents each are FAK and HKD i.e. 2 in number.
The triangles composed of four components each are BEN, CMI, GLJ and FHK i.c. 4 in number.
The triangles composed of eight components each are BAJ and CLD i.e. 2 in number,
Thus, there are 10+2 4+2=18 triangles in the given figure.