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The perimeter of a triangle is 69 in. The longest side is 14 in. longer than the medium side and the medium side is 5 in. more than the shortest side. Find the length of each side of the triangle.

The perimeter of a triangle is 69 in. The longest side is 14 in. longer than the medium-example-1

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\begin{gathered} \text{Perimeter = x+x+5+x+19} \\ 69=3x+24 \\ 69-24=3x \\ x=(45)/(3) \\ x=15 \end{gathered}

so, the sides of the triangle are 15 inches

, 20 inches and 34 inches

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