A) 30
B) 34
C) 35
D) 36
Correct Answer: D
Solution :
Let the three sides of triangle are a, b and c. |
\[a\le b\le c=11\] |
\[\therefore \] \[6\le b\le 11\]and \[c-b<a\le b.\] |
As b decreased by 1 unit the range of a decreased by 2 when b =11, we have |
\[1\le a\le 11\] |
Hence, the total number of triangle is |
\[11+9+7+5+3+1=36\] |
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