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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