# Which of the numbers can be equal to the length of the side of a triangle, the other two sides

Which of the numbers can be equal to the length of the side of a triangle, the other two sides of which are equal to 8 cm and 16 cm?

Determine how many centimeters the sum of the lengths of the known sides of the triangle equals:

16 + 8 = 24.

Determine how many centimeters the difference in the lengths of the known sides of the triangle equals:

16 – 8 = 8.

Knowing that, by definition, the length of the unknown side of a given triangle cannot be less than the difference between the lengths of the other two and, at the same time, cannot be more than the sum of their lengths, we compose the inequality:

8 <x <24.

Answer: The length of the side lies in the interval determined by the inequality – 8 <x <24.

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