Can the perimeter of a triangle be 160 cm if one side is 68 cm, and the other is 26 cm larger?

Suppose that a triangle whose perimeter is 160 cm, with one side equal to 68 cm, and the other 26 cm larger, exists. This means that in order to find its second side, you need to add 26 cm to the first side. And to find the third side, you need to subtract the sum of these two sides from the perimeter.
1) 68 + 26 = 94 (cm) – the second side of the triangle;
2) 160 – (68 + 94) = 160 – 162 = -2 (cm).
Answer: Such a triangle does not exist, since the length of the side of a triangle cannot be negative.

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