Question 955773: The perimeter 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 the lengths of the sides of the triangle.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! given:
 units
The length of the sides form an arithmetic sequence.
let  be the shortest side therefore the first term
let  be the common difference
the series is therefore:
,  , 
then 
all possible sets of the lengths of the sides of the triangle:
if  and  , then the lengths of the sides of the triangle are
 .........first solution: possible sides are  , ,and 
if  and  , then the lengths of the sides of the triangle are
 .........2nd solution: possible sides are  ,,and 
if  and  , then the lengths of the sides of the triangle are
 .........3rd solution: possible sides are  ,,and 
if  and  , then the lengths of the sides of the triangle are
 .........4th solution: possible sides are  ,,and 
if  and  , then the lengths of the sides of the triangle are
 .........5th solution: possible sides are  ,,and 
if  and  , then the lengths of the sides of the triangle are
 .........6th solution: possible sides are  ,,and 
if  and  , then the lengths of the sides of the triangle are
 .........7th solution: possible sides are  ,,and 
if  and  , then the lengths of the sides of the triangle are
 .........8th solution: possible sides are  ,,and 
if  and  , then the lengths of the sides of the triangle are
 .........9th solution: possible sides are  ,,and 
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