Question

Question 76. Find the number of triangles in the given figure-

• A. (a) 8
• B. (b) 10
• C. (c) 12
• D. (d) 14

Answer 1

The correct option is D (d) 14

Answer 76. (d) The figure may be labelled as shown-

The simplest triangles are AHG, AIG, AIB, JFE, CJE and CED i.e. 6 in number.

The triangles composed of two components each are ABG, CFE, ACJ and EGI i.e. 4 in number.

The triangles composed of three components each are ACE, AGE and CFD i.e. 3 in number

There is only one triangle i.e. AHE composed of four components

Therefore, There are 6 + 4 + 3 + 1 = 14 triangles in the given figure.