question_answer

How many triangles are there in the given figure?

A)  12                               

B)  14

C)  16                               

D)  18

Correct Answer: C

Solution :

1. \[\Delta \,AOB,\]	2. \[\Delta \,BOC,\]
3. \[\Delta \,CQD,\],	4. \[\Delta \,DOE,\]
5. \[\Delta \,EOF,\]	6. \[\Delta \,FOG,\]
7. \[\Delta \,GOH,\]	8. \[\Delta \,HOA,\]
9. \[\Delta \,AOC,\]	10. \[\Delta \,COE,\]
11. \[\Delta \,EOG,\]	12. \[\Delta \,GOA,\]
13. \[\Delta \,ACG,\]	14. \[\Delta \,CGE,\]
15. \[\Delta \,AGE,\]	16. \[\Delta \,AEC.\]

So, Total number of triangles = 16