Find the number of triangles in the given figure.

Options

A. 23
B. 27
C. 29
D. 31

Answer

C

Explanation

The figure may be labelled as shown.

The simplest triangles are AHL, AHG, GĦM, HMB, GMF, BMF, BIF, CIF, FNC, CNJ, FNE, NEJ, EK) and JKD i.e. 14 in number
The triangles composed of two components each are AGH, BHG, HBF, BFG, HFG, BCF, CJF, CJE, JEF, CFE and JED i.e. I in number.
The triangles composed ofour components each arc ABG, CBG, BCE and CED i.e. 4 in number
`therefore` Total number of thngles in the given figure - 14+ 11 + 4 = 29