How Many Triangles Do You See ?
Hello friends,
Here’s a fun challenge for you. How many triangles can you see (or count) in the diagram above?
If you intend to count them one by one, you will need some form of concentration – else you might lose count!
Here’s one of the method to count it :
How To Count The Triangles In The Diagram Systematically
First, lets label every corner with an Alphabet :
Next, group the triangles from small to large triangles (or by sub triangles)
Example of a group of small triangle will be AFG, BCG, etc
Example of a group of triangles formed by 2 smaller triangles, ie. AGK, CGM
The ones that are commonly missed, are these Triangles formed by 9 smaller triangles, ie. APS and especially GVY
So, these are the Triangle Groups :
Total Single Triangles = 32
- ABG
- AFG
- BCG
- CDI
- CGH
- CHI
- DEI
- EIJ
- FGK
- GHM
- GKL
- GLM
- HIM
- IJO
- IMN
- INO
- KLQ
- KPQ
- LMQ
- MNS
- MQR
- MRS
- NOS
- OST
- PQU
- QRW
- QUV
- QVW
- RSW
- STY
- SWX
- SXY
Total Double Triangles = 24
- ACG
- AGK
- CEI
- CGI
- CGM
- CIM
- EIO
- GKM
- GKQ
- GMQ
- GIM
- IMO
- IMS
- IOS
- KMQ
- KQU
- MOS
- MQS
- MQW
- MSW
- OSY
- QSW
- QUW
- SWY
Total Four Triangles = 20
- ACK
- ACM
- AKM
- CEM
- CEO
- CKM
- CMO
- EMO
- GIQ
- GIS
- GQS
- IQS
- KMU
- KMW
- KUW
- MOW
- MOY
- MUW
- MWY
- OWY
Total Eight Triangles = 8
- AEM
- AMU
- CKO
- CKW
- COW
- EMY
- KOW
- MUY
Total Nine Triangles = 8
- ADS
- APS
- BEQ
- EQT
- FIU
- GJY
- GVY
- IUX
Total Sixteen Triangles = 4
- AEU
- AEY
- AUY
- EUY
So the Answer is :
32 + 24 + 20 + 8 + 8 + 4 = 96
There are 96 Triangles in the diagram.
How many of you got it right?
You are welcome to share this fun puzzle with your friends, and if you have some other challenging ones to mention, and would like to have it featured, let me know in the comment box below or you can write to me from my contact page.
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