A) 29
B) 23
C) 19
D) None of these
Correct Answer: D
Solution :
The figure may be labelled as shown in the following figure.It is clear from the figure that there are seventeen triangles in the upper half of the figure \[ABGE=\Delta EIJ,\] \[\Delta EFM,\] \[\Delta AFE,\] \[\Delta HFI,\] \[\Delta FOP,\,\]\[\Delta OBP,\] \[\Delta PBG,\]\[\Delta PGQ,\]\[\Delta PMQ,\] \[\Delta PFM,\] \[\Delta FBM,\] \[\Delta BMG,\]\[\Delta FMG,\]\[\Delta FEG,\]\[\Delta FBP,\]\[\Delta MPG\]and\[\Delta FBG.\] |
There are four triangles in the lower half of the figure EGCD \[=\Delta EMD,\,\,\Delta JMK,\,\,\Delta DKL\,\,and\,\,\Delta DMN.\] |
There are four four triangle in the main figure ABCD \[=\Delta DBC,\,\,\Delta ADB,\,\,\Delta DPR\,\,and\,\,\Delta HBK\] |
Hence, there are a total of 25 triangles in the figure. |
You need to login to perform this action.
You will be redirected in
3 sec