Find the number of triangles in the given figure.
A.
15
B.
16
C.
17
D.
18
Correct answer is C
The figure may be labelled 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.