Question 36

Find the number of triangles in the given figure.

Solution

The different triangles in the figure ADEB are ACD, DCE, ECB, BCA, ABE, ADE, BDA, BDE

Number of triangles in the figure ADEB = 8

Figure DGHE and figure EHKI are similar to figure ADEB.

Number of triangles in the figure DGHE = 8

Number of triangles in the figure EHKI = 8

The remaining triangles in the given figure are AEG, BDH, DHJ, GEK, AGK

Number of remaining triangles in the given figure = 5

$$\therefore\ $$Total number of triangles in the given figure = 8 + 8 + 8 + 5 = 29

Hence, the correct answer is Option C


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