# The perimeter

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

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

### Step-by-step explanation:

${b}_{1}={a}_{1}+{x}_{1}=5+3=8$
${c}_{1}={b}_{1}+{x}_{1}=8+3=11$
${b}_{2}={a}_{2}+{x}_{2}=6+2=8$
${c}_{2}={b}_{2}+{x}_{2}=8+2=10$
${b}_{3}={a}_{3}+{x}_{3}=7+1=8$
${c}_{3}={b}_{3}+{x}_{3}=8+1=9$

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