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24 January, 20:57

A triangle has side lengths of 5a+3 5 a + 3 inches and 2a+3 2 a + 3 inches. If the perimeter of the triangle is 9a+12 9 a + 12 inches, which expression represents the lengths, in inches, of the third side of the triangle?

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  1. 24 January, 23:58
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    The answer to your question is: side 3 = 2a + 6

    Step-by-step explanation:

    Data

    Triangle

    side 1 = 5a + 3 inches

    side 2 = 2a + 3 inches

    side 3 = ?

    Perimeter = 9a + 12

    Process

    Perimeter = side 1 + side 2 + side 3

    9a + 12 = (5a + 3) + (2a + 3) + side 3

    side 3 = 9a + 12 - 5a - 3 - 2a - 3

    side 3 = 2a + 6
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