Algebra II

The longer side of a triangle is 3 times the shorter side. The third side is 4 inches longer than the shorter. How long is the short side if the perimeter is more than 39 inches?

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  1. If the shortest side is x, then we have

    x + (x+4) + 3x > 39
    5x > 35
    x > 7

    By the way, longer implies only two items. You want to use longest here, since a triangle has three sides.

    Especially, since without knowing the value of x, maybe x+4 is bigger than 3x. The problem should simply have stated 2nd side and 3rd side.

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