Q:
      
      
         
            
Find the number of triangles in the given figure?

         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: C) 15         
         
Explanation: We may label the figure as shown.
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The Simplest triangles are AFB, FEB, EBC, DEC, DFB and AFD i.e 6 in number.
The triangles composed of two components each are AEB, FBC, DFC, ADE, DBE and ABD i.e 6 in number.
The triangles composed of three components each are ADC and ABC i.e 2 in number.
There is only one triangle i.e DBC which is composed of four components.
Thus, there are 6 + 6 + 2 + 1 = 15 triangles in the figure
       
      
      
      
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