Question

What is the minimum number of line segments required to make the given figure.

• A. 10
• B. 12
• C. 14
• D. 16

Answer 1

The correct option is C 14

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.

So the minimum 14 lines required.