question_answer

How many triangles are there in this figure?

A)  34                               

B)  30

C)  28                   

D)         26

Correct Answer: A

Solution :

The triangles are: \[\Delta \]ABK: \[\Delta \]BKJ: \[\Delta \]JBC; \[\Delta \]JCD; \[\Delta \]DJI: \[\Delta \]IDE: \[\Delta \]IEF; \[\Delta \]HGF; \[\Delta \]FIH: \[\Delta \]JBD: \[\Delta \]IDF: \[\Delta \]LYK: \[\Delta \]MYH: \[\Delta \]LKQ: \[\Delta \]MHN: \[\Delta \]LQZ; \[\Delta \]MZN; \[\Delta \]YKQ; \[\Delta \]KQZ: \[\Delta \]HNZ; \[\Delta \]HNY: \[\Delta \]ZHK; \[\Delta \]YQN; \[\Delta \]QRS; \[\Delta \]SPQ: \[\Delta \]PTS; \[\Delta \]PTU: \[\Delta \]UPO: \[\Delta \]VOU; \[\Delta \]VOW; \[\Delta \]WNO: \[\Delta \]NXW; \[\Delta \]PSU: \[\Delta \]QUW Thus, altogether there are 34 triangles.