Final answer:
The triangle inequality theorem in Mathematics states that any side of a triangle must be less than the sum of the lengths of the other two sides of the triangle combined. A practical example is given to illustrate this theorem.
Step-by-step explanation:
According to the triangle inequality theorem, any side of a triangle must be less than the sum of the lengths of the other two sides of the triangle combined.
For example, let's consider a triangle with sides of lengths 3, 4, and 5.
According to the triangle inequality theorem, the length of each side must be less than the sum of the lengths of the other two sides: 3 < 4 + 5, 4 < 3 + 5, and 5 < 3 + 4, which all hold true, hence the numbers 3, 4, and 5 can be the lengths of the sides of a triangle.
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