Question 49

How many triangles are there in the following figure ?

Solution

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Triangles are:
Containing no triangle: A,B,C,D,E,F,G,H,I,J,K,L = 12
Containing 2 triangle: BE,DE,BC,CD,GH,HI,GE,FI,AJ,LK = 10
Containing 3 triangle:ABE, GJF, LDE, KIE
Containing 4 triangle : BEFG, DEFI
 

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