The correct option is
A 28
Let's first label the figure:
- Number of simple triangles:
AJG, GJK, GKD, DKH, HKJ, HJB, BJF, FJI, FIC, CIE, EIJ, EJA
= 12
- Number of triangles formed by joining 2 simple triangles:
JGD, GDH, DHJ, HJG, JFC, FCE, CEJ, EJF
= 8
- Number of triangles formed by joining 3 simple triangles:
AJD, DJB, BJC, CJA
= 4
- Number of triangles formed by joining 6 simple triangles:
ADB, DBC, BCA, CAD
= 4
Total number of triangles = 12 + 8 + 4 + 4 = 28
Thus, there are 28 triangles in the given figure.