Yes, they can. A simple test would be that any two sides added together should be more than the third side. If not, then it cannot form a triangle.
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Yes, it's possible. The requirement is that each side must be shorter than the sum of the other two sides. In this case, 7 is shorter than 6 + 9, 6 is shorter than 7 + 9, and 9 is shorter than 7 + 6. Consequently, you can build a triangle with sides of length 7, 6, and 9.
No, it is not. For a right triangle, from the Pythagoraen theorem, 7 squared plus 9 squared does not equal 12 squared
Not sure about a trainagle, but if you mean a triangle, the answer is * * * * *5 * * 10 * * * *9 * 6 * * * 8 * * * 7
(7+1)*(9-6) = 24
A scalene triangle.