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jaganbravo
- Junior | Next Rank: 30 Posts
- Posts: 13
- Joined: Wed Feb 20, 2008 9:27 am
This problem is testing the triangle property that states that 2 sides summed together must be bigger than the third side.
Let's find what the third side could be:
1. 6 or smaller. This is because 2 + 5 = 7, so the third side must be smaller than 7
2. 4 or bigger. This is because the second side is 5, so the first and third together must be bigger and 2 + 4 = 6
Combining these two, we know the range, and that the third side can only be 4, 5, or 6.
The perimeter then could be one of these three:
2 + 5 + 4 = 11
2 + 5 + 5 = 12
2 + 5 + 6 = 13
None of these value appear so the answer is A.
