How many triangles are there in the given figure?

Options

A. 28
B. 36
C. 40
D. 48

Answer

B

Explanation

The triangles are:
`DeltaAIH, DeltaAIB, DeltaAHB, DeltaCJB, DeltaCJD, DeltaCBD, DeltaEKD, DeltaEKF, DeltaEDF, DeltaGLF,DeltaGLH, DeltaGFH, DeltaHLM, DeltaIMH, DeltaBIM, DeltaBJM, DeltaDKM, DeltaDJM, DeltaFKM, DeltaFLM, DeltaMBH, DeltaMBD, DeltaMFD, DeltaMFH, DeltaHFD,DeltaHBD, DeltaBHF, DeltaBDF, DeltaHGM,DeltaHMA, DeltaBMC, DeltaBAM, DeltaDCM, DeltaDME, DeltaFEM, DeltaFMG,`
Thus, there are 36 triangles in the given figure.