A) 32
B) 31
C) 30
D) 29
Correct Answer: A
Solution :
In order to count the triangles, we first name the vertices. |
Now, counting can be observed. |
In \[\Delta ADE,\,\,\Delta AOD,\,\,\Delta OAN,\,\,\Delta NAM,\,\,\Delta MAE,\] |
\[\Delta DAN,\,\,\Delta OAM,\,\,\Delta NAE,\,\,\Delta DAM,\,\,\Delta OAE,\,\,\Delta DAE=10\]Similarly,\[\Delta BDF\]and\[\Delta CEF\]will have 10 and 10 triangles.\[\Delta DEF\]and\[\Delta ABC\]will count 2, hence total \[10+10+10+2=32\] |
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