SOLUTION: 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
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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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