Question : Directions: How many triangles are there in the given figure?
Option 1: 30
Option 2: 33
Option 3: 25
Option 4: 32
Correct Answer: 33
Solution : The given figure can be labeled as shown below –
Now, in the above figure, the total number of triangles is:
ABM, BMP, BNP, BNO, BOP, MNP, MNZ, ZNP, QZP, QMZ, MNQ, NPQ, BKC, BKD, CKD, DKJ, DSJ, KSJ, GTH, GTW, GHW, TVX, THJ, HIJ, HJX, HVX, HTX, KPL, LRQ, LMR, LQM, MQP, LMP
Therefore, there are 33 triangles in the given figure. Hence, the second option is correct.
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