Answer :

We would apply the tiangle inequality theorem which states that for the given lengths to form a triangle, the length of any two sides must be greater than teh length of the third side. By applying this theorem,

33 + 56 must be greater than 64

89 > 64

33 + 64 must be greater than 56

97 > 64

56 + 64 must be greater than 33

120 > 33

We can see that the theorem is obeyed. Thus, the side lengths form a right triangle.

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