Question 27

How many triangles are there in the following figure?

Solution

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The different triangles in the given figure are ABC, ACD, ADE, AEF, AFG, AGH, AHI, ABD, ACE, ADF, AEG, AFH, AGI, ABE, ACF, ADG, AEH, AFI, ABF, ACG, ADH, AEI, ABG, ACH, ADI, ABH, ACI, ABI

$$\therefore\ $$The number of triangles in the given figure = 28

Hence, the correct answer is Option D

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