SOLUTION: A triangle has a perimeter of 44 cm. The third side is 3 cm longer than twice the first side. The second side is 4 cm shorter than twise the first side. What is the length of the s

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A triangle has a perimeter of 44 cm. The third side is 3 cm longer than twice the first side. The second side is 4 cm shorter than twise the first side. What is the length of the s      Log On

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Question 353986: A triangle has a perimeter of 44 cm. The third side is 3 cm longer than twice the first side. The second side is 4 cm shorter than twise the first side. What is the length of the second side?
Answer by checkley77(12844) About Me  (Show Source):
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PERIMETER=44
S3=2S1+3
S2=2S1-4
S1+S2+S3=44
S1+(2S1-4)+(2S1+3)=44
S1+2S1-4+2S1+3=44
5S1=44+4-3
5S1=45
S1=45/5
S1=9 cm. for S1.
S2=2*9-4=18-4=14 cm. for S2.
S3=2*9+3=18=3=21 cm. for S3.
Proof:
9+14+21=44
44=44