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26 May, 12:30

The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45?

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  1. 26 May, 13:28
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    17

    Step-by-step explanation:

    Let x be the first side

    x+2 is the next side (consecutive odd number)

    x+4 is the third side (consecutive odd number)

    P = x + x+2 + x+4

    45 = x + x+2 + x+4

    Combine like terms

    45 = 3x+6

    Subtract 6 from each side

    45-6 = 3x+6-6

    39 = 3x

    Divide by 3

    39/3 = 3x/3

    13 = x

    The longest side is

    x+4

    13+4 = 17

    The longest side is 17
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