Question 32

How many triangles are there in given figure?

Solution

Number of small triangles given in the figure = 5 which are triangles AFB , BCF , CFD , DFE , EFA

Number of small triangles consisting of 2 triangles in the figure = 4 whch are triangles ABC ,ADC, DFA , BFD 

Number of small triangles consisting of 3 triangles in the figure = 2 which are triangles BED , CAD 

Number of  biggest triangles consisting all the small triangles = 1 which is triangle ABD

Total triangles = 5+4+2+1 

                     = 12


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