Find the number of triangles in the given figure. 11 13 15 17 The figure may be

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Correct Answer

15

Explanation

The figure may be labelled as shown.

Find the number of triangles in the given figure. 11 13 15 17 The figure may be labelled as shown. T

The simplest triangles are AKI, AIL, EKD, LFB, DJC, BJC, DHC and BCG i.e. 8 in number.

The triangles composed of two components each are AKL, ADJ, AJB and DBC i.e. 4 in number.

The triangles composed of the three components each are ADC and ABC i.e. 2 in number.

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

Thus, there are 8+ 4 + 2 + 1= 15 triangles in the figure.