|A) 11||B) 13|
|C) 15||D) 17|
We may label the figure as shown.
The Simplest triangles are AFB, FEB, EBC, DEC, DFB and AFD i.e 6 in number.
The triangles composed of two components each are AEB, FBC, DFC, ADE, DBE and ABD i.e 6 in number.
The triangles composed of three components each are ADC and ABC i.e 2 in number.
There is only one triangle i.e DBC which is composed of four components.
Thus, there are 6 + 6 + 2 + 1 = 15 triangles in the figure