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

  • 1
    11
    Correct
    Incorrect
  • 2
    13
    Correct
    Incorrect
  • 3
    15
    Correct
    Incorrect
  • 4
    17
    Correct
    Incorrect
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Answer : 3. "15"
Explanation :

Answer: C) 15 Explanation: We may label the figure as shown. 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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