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10 December, 19:34

The perimetr of a triangle is 30 units. the length of the sides form an arithmetic sequence. if each length is a whole number determine all possible sets of lengths of the sides of the triangle

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  1. 10 December, 21:27
    0
    Hello,

    Lets' assume a the side and r the commun added number

    sides: a, a+r, a+2r

    p=a+a+r+a+2r=3a+3r

    ==>a+r=10

    Side 0 doesn't exist

    a=1, r=9==>1,10,19

    a=2, r=8==>2,10,18

    a=3, r=7==>3,10,17

    a=4, r=6==>4,10,16

    a=5, r=5==>5,10,15

    a=6, r=4==>6,10,14

    a=7, r=3==>7,10,13

    a=8, r=2==>8,10,12

    a=9, r=1==>9,10,11
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