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vivek

· started a discussion

· 1 Months ago

SPI and DQK dont seem to be traingles.

Question:
How many triangles are there in the given figure? 
   
Options:
A) 29 
B) 38
C) 40
D) 35
Solution:

simplest triangles are : PNO;  PNM;  MPQ; MQR;  AQP;  AQR; BRA;  BRC;  SRC; SCD;  SGR;  SGD; DFG;  DFE;  TLM; TJK;  TLK;  TIH; 
The triangles composed of two components are: PON;  PMA;  APR; RAM;  RAC;  RGC; DGC;  DGE;  MPR; GRD;  ACR;  TMK; TKI;  TIG 
The triangles composed of four components are: AMO;  AMC;  CAG; CGE;  MKI;  GIK; 
Other triangles are: SPI; DQK
 Total number of triangles 18 + 14 + 6 + 2 = 40 

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