Question 44

How many triangles are there in this geometric figure?

Solution

Smaller triangles = (ABC) , (ACD) , (ADE) , (FGJ) , (GHJ) , (HIJ)

Triangles made by combination of 2 triangles = (ABD) , (ACE) , (AFG) , (AGH) , (AHI) , (FHJ) , (GIJ)

Triangles made by combination of 3 triangles = (ABE) , (FIJ)

Triangles made by combination of 4 triangles = (AFH) , (AGI)

Triangles made by combination of 6 triangles = (AFI)

Thus, total triangles = 18

=> Ans - (C)

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