How many maximum triangles are there in the given figure ?

29

The logic followed here is;

(let's keep in mind the base, means how many triangles are there in the base)

1+2= 03  (AQB) 

1+2= 03  (EQF)

1+2= 03  (EPF)

1+2= 03  (CPD)

And, the other triangles are;

AQE, BQF, EPC, FPD, BOD, AEB, BFE, ABF, AEF, EFD, ECD, EFC, FDC, BED, AFC, EQP, FQP

Therefore, there are 03+03+03+03+17= 29 triangles in the above figure.