The perimeter of a triangle is 27 cm. What are the lengths of the sides of a triangle if its second side is 2 cm

The perimeter of a triangle is 27 cm. What are the lengths of the sides of a triangle if its second side is 2 cm longer than the first, and the third side is 4 cm shorter than the second?

Let x km be the first side of the triangle. Therefore, since the second side is 2 cm longer, it is x + 2 cm.Since it is said that the third side is 4 cm shorter than the second, then its length is x + 2 – 4, that is, x – 2 cm.
Since the perimeter of the triangle is known, we compose the equation:
x + x + 2 + x – 2 = 27;
3 * x = 27;
x = 27/3;
x = 9.
This means that the first side is 9 cm, the second is 9 + 2 = 11 cm, the third is 11 – 4 = 7 cm.
Answer: 9 cm, 11 cm, 7 cm.



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