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Question

Count the number of triangles in the figure given below:
309477.png

A
15
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B
19
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C
22
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D
24
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Solution

The correct option is D 24
The figure may be marked as shown in the adjacent figure. It is clear from the figure that there are total twenty four triangles in the figure as counted below.
The are three triangles in section ADC of the figure namely: AIC, ADI and ADC.
There are three triangles in section CDK of the figure namely: CIK, IDK and CDK.
There are three triangles in section OPK of the figure namely: JKO, JPK and OPK.
There are three triangles in section EFM of the figure namely: EJM, JFM and EFM.
There are three triangles in section QNM of the figure namely: QLM, LNM and QNM.
There are three triangles in section GHB of the figure namely: GLB, LHB and GHB.
There are six more triangles namely: ADK, ACK, COE, EQG, DPF and FNH.
hence there are total twenty four triangles in the figure.
480252_309477_ans.png

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