SOLUTION: A certain triangle has a perimeter of 3082mi. The shortest side measures 79mi less than the middle side, and the longest side measures 377mi more than the middle side. Find the len

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Question 985599: A certain triangle has a perimeter of 3082mi. The shortest side measures 79mi less than the middle side, and the longest side measures 377mi more than the middle side. Find the lengths of the three sides.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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M=length of middle side; S=length of short side=M-79mi; L=longest side=M+377mi
Perimeter=S+M+L
3082mi=(M-79mi)+M+(M+377mi)
3082mi=3M+298mi
2784mi=3M
928mi=M ANSWER 1: The length of the middle side is 928 miles.
S=M-79mi=928mi-79mi=849mi ANSWER 2: The short side is 849 miles,
L=M+377mi=928mi+377mi=1305mi ANSWER 3: The long side is 1305 miles
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CHECK:
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Perimeter=S+M+L
3082 mi=849mi+928mi+1305mi
3082mi=3082mi