In the picture above, the sides with lengths 3, 4, and 5 form a triangle according to the Triangle Inequality Theorem.
To determine if three sides can form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 3+4=7, which is greater than 5. Similarly, 3+5=8 is greater than 4 and 4+5=9 is greater than 3.
Therefore, the sides with lengths 3, 4, and 5 can form a triangle.
Using the Triangle Inequality Theorem (see picture above), determine which three sides form a triangle.
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