SOLUTION: One side of triangle is one-third the longest side. The third side is 10 feet less than the longest side. The perimeter is 102. Find all three sides.

Question 1001674: One side of triangle is one-third the longest side. The third side is 10 feet less than the longest side. The perimeter is 102. Find all three sides.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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L=longest side; S=Second side=(1/3)L; T=Third side=L-10ft
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L+S+T=102
L+(1/3)L+L-10ft=102
(7/3)L=112
7L=336
L=336/7
L=48
ANSWER 1: The longest side is 48.
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S=(1/3)L=(1/3)(48)=16
ANSWER 2: The second side is 16.
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T=L-10ft=48-10ft=38
ANSWER 3: The third side is 38.
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CHECK:
L+S+T+102
48+16+38=102
102=102

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