Final answer:
It is not possible to build a triangle with side lengths of 5, 5, and 10.
Step-by-step explanation:
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In the given case, the sum of the lengths of the two sides with length 5 is 10, which is equal to the length of the third side. Therefore, it is not possible to build a triangle with side lengths of 5, 5, and 10.
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