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Alik [6]
2 years ago
11

The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pot

her side is 2 centimeters more than twice the shortest side. Find the length of each side.
Mathematics
1 answer:
Mariulka [41]2 years ago
3 0

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

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