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21 February, 03:16

The perimeter of a triangle is 39 inches. The second side is 9 times as long as the first side. The third side is 1 inch longer than the second side. Find

the length of each side.

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  1. 21 February, 06:53
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    Perimiter=x+y+z

    x is 9 times as long as y

    z is 1 longer than x

    translate

    x=9 times y or x=9y

    z=1+x

    subsitute 9y for x in the z=1+x equation

    z=1+9y

    subsitute z=1+9y and x=9y in the equation

    9y+y+1+9y=39

    add like terms

    19y+1=39

    subtract 1 from both sides

    19y=38

    divide by 19

    y=2

    subsitute

    x=9y

    x=9 (2)

    x=18

    z=1+9y

    z=1+9 (2)

    z=1+18

    z=19

    the side legnths are

    first side: 2 in

    second side: 18 in

    third side: 19 in
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