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

Question

Carina Cameron

Mathematics

29 May, 10:40

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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Drake Woodward · Answer 1

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