Yes, because the sum of its two smallest sides is greater than its longest side.
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No.
Yes. For example, place the 6 as the base, and the 3 and 4 sloping up from that base.
yes, it makes an isosceles triangle
No
No. For it to work, then 3 squared and 4 squared would have to be equal to 6 squared. 4 squared=16 3 squared= 9 9+16= 25 6 squared= 36.