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26 July, 06:50

Geometry: The longest side of a triangle is 3 times the length of the shortest side. The third side of the triangle is 5 inches longer than the shortest side. The perimeter is 50 inches. What are the lengths of the three sides of the triangle?

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  1. 26 July, 07:15
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    Let x be the smallest side.

    Longest side is 3x.

    Third side is x + 5.

    Add together to get perimeter.

    x + 3x + x + 5 = 50

    Simplify

    5x + 5 = 50

    Subtract 5 from both sides.

    5x = 45

    Divide both sides by 5.

    x = 9

    3x = 27

    x + 5 = 14

    9, 14, 27
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Home » Mathematics » Geometry: The longest side of a triangle is 3 times the length of the shortest side. The third side of the triangle is 5 inches longer than the shortest side. The perimeter is 50 inches. What are the lengths of the three sides of the triangle?
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