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18 July, 23:22

The perimeter of a triangle is 30 in. The longest side is 2 less than 3 times the shortest side and the other side is 2 more than twice the shortest side. Find the length of each side

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  1. 19 July, 02:35
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    Shortest side=5, Largest side=13, Other side=12

    Step-by-step explanation:

    Let's define the shortest side of the triangle as x, since the other two sides are defined in terms of this one.

    The longest side is 2 less than 3 times the shortest side, then it is 3 * x - 2.

    The other side is 2 more than twice the shortest side, then it is 2 * x + 2.

    By the problem directions, we know that the perimeter or sum of sides is 30.

    x + 3x - 2 + 2*x + 2 = 30

    Adding all the terms "with x" together and all terms "without x" together, we get ...

    6*x = 30

    Solving for x (dividing both sides by 6), we get ...

    x = 30/6 = 5

    Finally,

    Shortest side: 5

    Largest side: 3 * 5 - 2 = 13

    Other side: 2 * 5 + 2 = 12
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