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Hi, The key fact that will help you get started is
If this is confusing try to make a triangle with side lengths 4, 2 and 1 unit, or even one with sides of length 4, 3 and 1 unit. Your units are matchstick lengths and the lengths of the sides must integers. (I expect you are not allowed to break the matchsticks). You have 12 matchsticks. You can't have a side of length 12 matchsticks as there would be none left for the other two sides. You can't have a side of length 11 matchsticks as that would leave you with only one other side. You can't have a side of length 10 matchsticks since the other two sides would have length 1 and this violates the fact above. Can the triangle have a side of length 9? What about 8? Can you complete the problem now? Penny |
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