stephanieosborn
stephanieosborn stephanieosborn
  • 06-02-2019
  • Mathematics
contestada

A triangle has a perimeter of 58 feet. If the three sides of the triangle are n, 3n+4, and 4n-10, what is the length of each side?

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sqdancefan
sqdancefan sqdancefan
  • 06-02-2019

Answer:

  side lengths are 8, 28, and 22 feet

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides:

  58 = n + (3n+4) + (4n-10)

  64 = 8n . . . . . collect terms, add 6

  8 = n . . . . . . . .divide by 8. First side length

  3n+4 = 3·8 +4 = 28 . . . . second side length

  4n-10 = 4·8 -10 = 22 . . . . third side length

The side lengths are 8 ft, 28 ft, 22 ft.

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