SOLUTION: The Bermuda Triangle supposedly causes trouble for aircraft pilots. It has a perimeter of 3075 mi. The shortest side measures 75 mi less than the middle side, and the longest side

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Question 96915This question is from textbook Intermediate Algebra
: The Bermuda Triangle supposedly causes trouble for aircraft pilots. It has a perimeter of 3075 mi. The shortest side measures 75 mi less than the middle side, and the longest side measures 375 mi more than the middle side. Find the lengths of the three sides. This question is from textbook Intermediate Algebra

Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
Let the middle side of the bermuda triangle be of length M
Therefore the shortest side S = M-75 ( 75 miles shorter than the middle side)
The longest side L = M + 375( 375 miles more than the middle side)
Perimeter of the triangle =Sum of 3 sides of the triangle
=> 3075= S+ M + L
Substituting the values of S and L from above
3075 = M-75 + M +M + 375
=> 3M = 3075 +75 -375
=> M = 2775/3
therefore M = 925
S = M-75
=>S= 925-75=850
L = M+375=925+375
therfore,L= 1300
Smallest Side = 850 miles
Middle Side= 925 miles
Longest side= 1300 miles