The perimeter

The perimeter of the triangle is 24, and the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle.

Correct answer:

a1 =  5
b1 =  8
c1 =  11
a2 =  6
b2 =  8
c2 =  10
a3 =  7
b3 =  8
c3 =  9

Step-by-step explanation:

a+(a+x)+(a+2x)=24 3a+3x=24 a+x=8  a1=5;x1=3 a2=6;x2=2 a3=7;x3=1
b1=a1+x1=5+3=8
c1=b1+x1=8+3=11
b2=a2+x2=6+2=8
c2=b2+x2=8+2=10
b3=a3+x3=7+1=8
c3=b3+x3=8+1=9



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