Find the number of triangles in the given figure?
| A) 10 | B) 12 |
| C) 14 | D) 16 |
Answer & ExplanationAnswer: C) 14
The figure may be labelled as shown
The simplest triangles are ABJ, ACJ, BDH, DHF, CIE and GIE i.e 6 in number.
The triangles composed of two components each are ABC, BDF, CEG, BHJ, JHK, JKI and CJI i.e 7 in number.
There is only one triangle JHI which is composed of four components.
Thus, there are 6 + 7 + 1 = 14 triangles in the given figure.
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