SOLUTION: A Certain triangle has a perimeter of 3070 mi. The shortest side measures 74 mi less than the middle side, and the longest side measures 372 mi more than the middle side. Find the
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: A Certain triangle has a perimeter of 3070 mi. The shortest side measures 74 mi less than the middle side, and the longest side measures 372 mi more than the middle side. Find the
Log On
Question 1126259: A Certain triangle has a perimeter of 3070 mi. The shortest side measures 74 mi less than the middle side, and the longest side measures 372 mi more than the middle side. Find the lengths of the three sides. Answer by Alex.33(110) (Show Source):
You can put this solution on YOUR website! Basic approach design: use parameter=sum of all side lengths.
Since both the shortest and longest sides' lengths are associated with the medium one, we assign variable x to the midium one, in order to intepret everything easier.
And BOOM!
(x-74)+x+(x+372)=3070
x=924 mi.
short:850
medium:924
long:1296.
That's how I think about solving this sort of problem. Hope it helps!