How many triangles are there in the following figure?

Step-by-step solution

The triangles are : DABD, DFHD, DFGH, DFGD, DGHD, DGJH, DHJD, DJDF, DGJF, DKID, DLID, DEID, DCID, DCLD, DEKD, DAFE, DAFG, DEFK, DAEG, DAEK, DAED, DDEF, DCGE, DBGH, DBHC, DCHL, DBCG, DBCL, DBCD, DDKL, DCDH, DEGI, DCGI, DAGD, DBDG Thus there are 35 triangles. But the largest number among options is 26 . Therefore, most appropriate answer is option (1).