Page 337 - Services Selection Board (SSB) Interviews

Counting of Figures and Hidden Embedded Figures 333
Example: 2
How many Triangles are there in the following Figure?

Solution:
A B
J
I
E
G
K
D H C
L M

F
Let consider the Square(ABCD) First,
Total Triangles be – ADC, ABC, AID, DIC, CIB, and BIC = 6 Triangles
Consider the triangle BCE with Common side BC, then Number of triangles be – BCE, BGE, EGC, BJE, EJG,
EGK, EKC, EDC, EBA = 9
Similarly For the Triangle DCF with common side DC has – 9 triangles.
Now consider only inside the square,
Triangles like: ADL, BMC, AJB and DCK = 4 Triangles
And there are more Triangles inside the square Figure which are marked .
A B

J

I
G

K

D L H M C
So, marked Triangles are – 15 Triangles
Therefore Total Triangles are - 43