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The three sides of a triangle are n. 3n+2, and 4n - 13. If the perimeter of the triangle is 69 inches, what is the length of each side?
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Apocalypsee

Answer:

8, 26 and 19

Step-by-step explanation:

Perimeter is the length of all sides of a polygon. It is simply the length of the boundary around a closed shape. Perimeter of a triangle = Sum of all three sides.

Hence,

[tex]\Rightarrow[/tex] n + 3n + 2 + 4n - 13 = 69 (acc. to Q)

[tex]\Rightarrow[/tex] n + 3n + 4n + 2 - 13 = 69

[tex]\Rightarrow[/tex] 8n - 11 = 69

[tex]\Rightarrow[/tex] 8n = 80

[tex]\Rightarrow[/tex] n = 80/10

[tex]\Rightarrow[/tex] n = 8

Length of all three sides:

  • n = 8
  • 3n + 2 = 3(8) + 2 = 26
  • 4n - 13 = 4(8) - 13 = 19

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